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Finding the Fourth Proportional to 9,539.92, 13,155.12 and 7,547.28

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Solution

The fourth proportional to 9,539.92, 13,155.12 and 7,547.28 is: 10,407.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,539.92 : 13,155.12 = 7,547.28 : x
  2. Step 2: Convert to fraction form
    9,539.92/13,155.12 = 7,547.28/x
  3. Step 3: Cross multiply
    9,539.92x = 13,155.12 × 7,547.28
  4. Step 4: Simplify right side
    9,539.92x = 99,285,374.07
  5. Step 5: Solve for x
    x = 99,285,374.07/9,539.92
  6. Step 6: Final answer
    x = 10,407.36

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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.