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Finding the Fourth Proportional to 9,637.62, 13,304.24 and 5,658.98

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Solution

The fourth proportional to 9,637.62, 13,304.24 and 5,658.98 is: 7,811.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,637.62 : 13,304.24 = 5,658.98 : x
  2. Step 2: Convert to fraction form
    9,637.62/13,304.24 = 5,658.98/x
  3. Step 3: Cross multiply
    9,637.62x = 13,304.24 × 5,658.98
  4. Step 4: Simplify right side
    9,637.62x = 75,288,428.08
  5. Step 5: Solve for x
    x = 75,288,428.08/9,637.62
  6. Step 6: Final answer
    x = 7,811.93

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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.