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Finding the Fourth Proportional to 9,798,922.16, 13,523,269.20 and 5,878,825.28

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Solution

The fourth proportional to 9,798,922.16, 13,523,269.20 and 5,878,825.28 is: 8,113,232.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,798,922.16 : 13,523,269.20 = 5,878,825.28 : x
  2. Step 2: Convert to fraction form
    9,798,922.16/13,523,269.20 = 5,878,825.28/x
  3. Step 3: Cross multiply
    9,798,922.16x = 13,523,269.20 × 5,878,825.28
  4. Step 4: Simplify right side
    9,798,922.16x = 79,500,936,841,205.38
  5. Step 5: Solve for x
    x = 79,500,936,841,205.38/9,798,922.16
  6. Step 6: Final answer
    x = 8,113,232.82

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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.