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Finding the Fourth Proportional to 9,472,734.82, 13,069,389.90 and 5,797,820.31

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Solution

The fourth proportional to 9,472,734.82, 13,069,389.90 and 5,797,820.31 is: 7,999,165.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,472,734.82 : 13,069,389.90 = 5,797,820.31 : x
  2. Step 2: Convert to fraction form
    9,472,734.82/13,069,389.90 = 5,797,820.31/x
  3. Step 3: Cross multiply
    9,472,734.82x = 13,069,389.90 × 5,797,820.31
  4. Step 4: Simplify right side
    9,472,734.82x = 75,773,974,201,528.86
  5. Step 5: Solve for x
    x = 75,773,974,201,528.86/9,472,734.82
  6. Step 6: Final answer
    x = 7,999,165.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.