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Finding the Fourth Proportional to 9,934.50, 14,901.41 and 4,666.57

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Solution

The fourth proportional to 9,934.50, 14,901.41 and 4,666.57 is: 6,999.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,934.50 : 14,901.41 = 4,666.57 : x
  2. Step 2: Convert to fraction form
    9,934.50/14,901.41 = 4,666.57/x
  3. Step 3: Cross multiply
    9,934.50x = 14,901.41 × 4,666.57
  4. Step 4: Simplify right side
    9,934.50x = 69,538,472.86
  5. Step 5: Solve for x
    x = 69,538,472.86/9,934.50
  6. Step 6: Final answer
    x = 6,999.70

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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.