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Finding the Fourth Proportional to 7,225.31, 9,972.59 and 4,242.11

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Solution

The fourth proportional to 7,225.31, 9,972.59 and 4,242.11 is: 5,855.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,225.31 : 9,972.59 = 4,242.11 : x
  2. Step 2: Convert to fraction form
    7,225.31/9,972.59 = 4,242.11/x
  3. Step 3: Cross multiply
    7,225.31x = 9,972.59 × 4,242.11
  4. Step 4: Simplify right side
    7,225.31x = 42,304,752.69
  5. Step 5: Solve for x
    x = 42,304,752.69/7,225.31
  6. Step 6: Final answer
    x = 5,855.08

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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.