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Finding the Fourth Proportional to 9,932.32, 14,897.71 and 4,668.49

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Solution

The fourth proportional to 9,932.32, 14,897.71 and 4,668.49 is: 7,002.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,932.32 : 14,897.71 = 4,668.49 : x
  2. Step 2: Convert to fraction form
    9,932.32/14,897.71 = 4,668.49/x
  3. Step 3: Cross multiply
    9,932.32x = 14,897.71 × 4,668.49
  4. Step 4: Simplify right side
    9,932.32x = 69,549,724.56
  5. Step 5: Solve for x
    x = 69,549,724.56/9,932.32
  6. Step 6: Final answer
    x = 7,002.36

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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.