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Finding the Fourth Proportional to 9,917.85, 14,839.71 and 9,807.15

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Solution

The fourth proportional to 9,917.85, 14,839.71 and 9,807.15 is: 14,674.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,917.85 : 14,839.71 = 9,807.15 : x
  2. Step 2: Convert to fraction form
    9,917.85/14,839.71 = 9,807.15/x
  3. Step 3: Cross multiply
    9,917.85x = 14,839.71 × 9,807.15
  4. Step 4: Simplify right side
    9,917.85x = 145,535,261.93
  5. Step 5: Solve for x
    x = 145,535,261.93/9,917.85
  6. Step 6: Final answer
    x = 14,674.07

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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.