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Finding the Fourth Proportional to 7,239.32, 9,985.52 and 5,744.88

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Solution

The fourth proportional to 7,239.32, 9,985.52 and 5,744.88 is: 7,924.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,239.32 : 9,985.52 = 5,744.88 : x
  2. Step 2: Convert to fraction form
    7,239.32/9,985.52 = 5,744.88/x
  3. Step 3: Cross multiply
    7,239.32x = 9,985.52 × 5,744.88
  4. Step 4: Simplify right side
    7,239.32x = 57,365,614.14
  5. Step 5: Solve for x
    x = 57,365,614.14/7,239.32
  6. Step 6: Final answer
    x = 7,924.17

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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.