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Finding the Fourth Proportional to 9,900.39, 14,856.66 and 5,223.87

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Solution

The fourth proportional to 9,900.39, 14,856.66 and 5,223.87 is: 7,839.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,900.39 : 14,856.66 = 5,223.87 : x
  2. Step 2: Convert to fraction form
    9,900.39/14,856.66 = 5,223.87/x
  3. Step 3: Cross multiply
    9,900.39x = 14,856.66 × 5,223.87
  4. Step 4: Simplify right side
    9,900.39x = 77,609,260.47
  5. Step 5: Solve for x
    x = 77,609,260.47/9,900.39
  6. Step 6: Final answer
    x = 7,839.01

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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.