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Finding the Fourth Proportional to 9,432.21, 13,009.16 and 6,913.38

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Solution

The fourth proportional to 9,432.21, 13,009.16 and 6,913.38 is: 9,535.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,432.21 : 13,009.16 = 6,913.38 : x
  2. Step 2: Convert to fraction form
    9,432.21/13,009.16 = 6,913.38/x
  3. Step 3: Cross multiply
    9,432.21x = 13,009.16 × 6,913.38
  4. Step 4: Simplify right side
    9,432.21x = 89,937,231.99
  5. Step 5: Solve for x
    x = 89,937,231.99/9,432.21
  6. Step 6: Final answer
    x = 9,535.12

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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.