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Finding the Fourth Proportional to 9,721.52, 14,581.72 and 5,823.28

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Solution

The fourth proportional to 9,721.52, 14,581.72 and 5,823.28 is: 8,734.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,721.52 : 14,581.72 = 5,823.28 : x
  2. Step 2: Convert to fraction form
    9,721.52/14,581.72 = 5,823.28/x
  3. Step 3: Cross multiply
    9,721.52x = 14,581.72 × 5,823.28
  4. Step 4: Simplify right side
    9,721.52x = 84,913,438.44
  5. Step 5: Solve for x
    x = 84,913,438.44/9,721.52
  6. Step 6: Final answer
    x = 8,734.58

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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.