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Finding the Fourth Proportional to 9,153.68, 13,721.88 and 4,534.16

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Solution

The fourth proportional to 9,153.68, 13,721.88 and 4,534.16 is: 6,796.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,153.68 : 13,721.88 = 4,534.16 : x
  2. Step 2: Convert to fraction form
    9,153.68/13,721.88 = 4,534.16/x
  3. Step 3: Cross multiply
    9,153.68x = 13,721.88 × 4,534.16
  4. Step 4: Simplify right side
    9,153.68x = 62,217,199.42
  5. Step 5: Solve for x
    x = 62,217,199.42/9,153.68
  6. Step 6: Final answer
    x = 6,796.96

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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.