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Finding the Fourth Proportional to 9,981.72, 14,966.10 and 8,530.20

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Solution

The fourth proportional to 9,981.72, 14,966.10 and 8,530.20 is: 12,789.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,981.72 : 14,966.10 = 8,530.20 : x
  2. Step 2: Convert to fraction form
    9,981.72/14,966.10 = 8,530.20/x
  3. Step 3: Cross multiply
    9,981.72x = 14,966.10 × 8,530.20
  4. Step 4: Simplify right side
    9,981.72x = 127,663,826.22
  5. Step 5: Solve for x
    x = 127,663,826.22/9,981.72
  6. Step 6: Final answer
    x = 12,789.76

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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.