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Finding the Fourth Proportional to 9,953.27, 14,930.10 and 2,557.76

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Solution

The fourth proportional to 9,953.27, 14,930.10 and 2,557.76 is: 3,836.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,953.27 : 14,930.10 = 2,557.76 : x
  2. Step 2: Convert to fraction form
    9,953.27/14,930.10 = 2,557.76/x
  3. Step 3: Cross multiply
    9,953.27x = 14,930.10 × 2,557.76
  4. Step 4: Simplify right side
    9,953.27x = 38,187,649.90
  5. Step 5: Solve for x
    x = 38,187,649.90/9,953.27
  6. Step 6: Final answer
    x = 3,836.70

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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.