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Finding the Fourth Proportional to 9,932.42, 14,901.14 and 4,666.46

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Solution

The fourth proportional to 9,932.42, 14,901.14 and 4,666.46 is: 7,000.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,932.42 : 14,901.14 = 4,666.46 : x
  2. Step 2: Convert to fraction form
    9,932.42/14,901.14 = 4,666.46/x
  3. Step 3: Cross multiply
    9,932.42x = 14,901.14 × 4,666.46
  4. Step 4: Simplify right side
    9,932.42x = 69,535,510.92
  5. Step 5: Solve for x
    x = 69,535,510.92/9,932.42
  6. Step 6: Final answer
    x = 7,000.86

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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.