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Finding the Fourth Proportional to 9,098.16, 12,547.92 and 6,418.14

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Solution

The fourth proportional to 9,098.16, 12,547.92 and 6,418.14 is: 8,851.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,098.16 : 12,547.92 = 6,418.14 : x
  2. Step 2: Convert to fraction form
    9,098.16/12,547.92 = 6,418.14/x
  3. Step 3: Cross multiply
    9,098.16x = 12,547.92 × 6,418.14
  4. Step 4: Simplify right side
    9,098.16x = 80,534,307.27
  5. Step 5: Solve for x
    x = 80,534,307.27/9,098.16
  6. Step 6: Final answer
    x = 8,851.71

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