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Finding the Fourth Proportional to 9,565.08, 13,202.10 and 7,547.28

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Solution

The fourth proportional to 9,565.08, 13,202.10 and 7,547.28 is: 10,417.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,565.08 : 13,202.10 = 7,547.28 : x
  2. Step 2: Convert to fraction form
    9,565.08/13,202.10 = 7,547.28/x
  3. Step 3: Cross multiply
    9,565.08x = 13,202.10 × 7,547.28
  4. Step 4: Simplify right side
    9,565.08x = 99,639,945.29
  5. Step 5: Solve for x
    x = 99,639,945.29/9,565.08
  6. Step 6: Final answer
    x = 10,417.05

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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.