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Finding the Fourth Proportional to 9,873.28, 14,816.28 and 5,710.72

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Solution

The fourth proportional to 9,873.28, 14,816.28 and 5,710.72 is: 8,569.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,873.28 : 14,816.28 = 5,710.72 : x
  2. Step 2: Convert to fraction form
    9,873.28/14,816.28 = 5,710.72/x
  3. Step 3: Cross multiply
    9,873.28x = 14,816.28 × 5,710.72
  4. Step 4: Simplify right side
    9,873.28x = 84,611,626.52
  5. Step 5: Solve for x
    x = 84,611,626.52/9,873.28
  6. Step 6: Final answer
    x = 8,569.76

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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.