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Finding the Fourth Proportional to 7,041.62, 9,706.25 and 5,547.17

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Solution

The fourth proportional to 7,041.62, 9,706.25 and 5,547.17 is: 7,646.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,041.62 : 9,706.25 = 5,547.17 : x
  2. Step 2: Convert to fraction form
    7,041.62/9,706.25 = 5,547.17/x
  3. Step 3: Cross multiply
    7,041.62x = 9,706.25 × 5,547.17
  4. Step 4: Simplify right side
    7,041.62x = 53,842,142.55
  5. Step 5: Solve for x
    x = 53,842,142.55/7,041.62
  6. Step 6: Final answer
    x = 7,646.28

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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.