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Finding the Fourth Proportional to 9,951.77, 14,925.97 and 9,402.80

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Solution

The fourth proportional to 9,951.77, 14,925.97 and 9,402.80 is: 14,102.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,951.77 : 14,925.97 = 9,402.80 : x
  2. Step 2: Convert to fraction form
    9,951.77/14,925.97 = 9,402.80/x
  3. Step 3: Cross multiply
    9,951.77x = 14,925.97 × 9,402.80
  4. Step 4: Simplify right side
    9,951.77x = 140,345,822.94
  5. Step 5: Solve for x
    x = 140,345,822.94/9,951.77
  6. Step 6: Final answer
    x = 14,102.59

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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.