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Finding the Fourth Proportional to 9,877.70, 14,816.57 and 3,957.26

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Solution

The fourth proportional to 9,877.70, 14,816.57 and 3,957.26 is: 5,935.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,877.70 : 14,816.57 = 3,957.26 : x
  2. Step 2: Convert to fraction form
    9,877.70/14,816.57 = 3,957.26/x
  3. Step 3: Cross multiply
    9,877.70x = 14,816.57 × 3,957.26
  4. Step 4: Simplify right side
    9,877.70x = 58,632,925.93
  5. Step 5: Solve for x
    x = 58,632,925.93/9,877.70
  6. Step 6: Final answer
    x = 5,935.89

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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.