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Finding the Fourth Proportional to 9,712.37, 14,574.85 and 5,332.88

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Solution

The fourth proportional to 9,712.37, 14,574.85 and 5,332.88 is: 8,002.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,712.37 : 14,574.85 = 5,332.88 : x
  2. Step 2: Convert to fraction form
    9,712.37/14,574.85 = 5,332.88/x
  3. Step 3: Cross multiply
    9,712.37x = 14,574.85 × 5,332.88
  4. Step 4: Simplify right side
    9,712.37x = 77,725,839.86
  5. Step 5: Solve for x
    x = 77,725,839.86/9,712.37
  6. Step 6: Final answer
    x = 8,002.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.