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Finding the Fourth Proportional to 9,908.32, 14,869.76 and 7,983.76

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Solution

The fourth proportional to 9,908.32, 14,869.76 and 7,983.76 is: 11,981.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,908.32 : 14,869.76 = 7,983.76 : x
  2. Step 2: Convert to fraction form
    9,908.32/14,869.76 = 7,983.76/x
  3. Step 3: Cross multiply
    9,908.32x = 14,869.76 × 7,983.76
  4. Step 4: Simplify right side
    9,908.32x = 118,716,595.10
  5. Step 5: Solve for x
    x = 118,716,595.10/9,908.32
  6. Step 6: Final answer
    x = 11,981.51

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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.