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Finding the Fourth Proportional to 10,503.76, 14,498.91 and 9,382.76

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Solution

The fourth proportional to 10,503.76, 14,498.91 and 9,382.76 is: 12,951.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,503.76 : 14,498.91 = 9,382.76 : x
  2. Step 2: Convert to fraction form
    10,503.76/14,498.91 = 9,382.76/x
  3. Step 3: Cross multiply
    10,503.76x = 14,498.91 × 9,382.76
  4. Step 4: Simplify right side
    10,503.76x = 136,039,720.30
  5. Step 5: Solve for x
    x = 136,039,720.30/10,503.76
  6. Step 6: Final answer
    x = 12,951.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.