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Finding the Fourth Proportional to 9,891.47, 14,838.57 and 3,319.53

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Solution

The fourth proportional to 9,891.47, 14,838.57 and 3,319.53 is: 4,979.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,891.47 : 14,838.57 = 3,319.53 : x
  2. Step 2: Convert to fraction form
    9,891.47/14,838.57 = 3,319.53/x
  3. Step 3: Cross multiply
    9,891.47x = 14,838.57 × 3,319.53
  4. Step 4: Simplify right side
    9,891.47x = 49,257,096.76
  5. Step 5: Solve for x
    x = 49,257,096.76/9,891.47
  6. Step 6: Final answer
    x = 4,979.76

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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.