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Finding the Fourth Proportional to 9,977.64, 14,957.82 and 5,865

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Solution

The fourth proportional to 9,977.64, 14,957.82 and 5,865 is: 8,792.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,977.64 : 14,957.82 = 5,865 : x
  2. Step 2: Convert to fraction form
    9,977.64/14,957.82 = 5,865/x
  3. Step 3: Cross multiply
    9,977.64x = 14,957.82 × 5,865
  4. Step 4: Simplify right side
    9,977.64x = 87,727,614.30
  5. Step 5: Solve for x
    x = 87,727,614.30/9,977.64
  6. Step 6: Final answer
    x = 8,792.42

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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.