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Finding the Fourth Proportional to 9,542.66, 14,312.17 and 2,968.93

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Solution

The fourth proportional to 9,542.66, 14,312.17 and 2,968.93 is: 4,452.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,542.66 : 14,312.17 = 2,968.93 : x
  2. Step 2: Convert to fraction form
    9,542.66/14,312.17 = 2,968.93/x
  3. Step 3: Cross multiply
    9,542.66x = 14,312.17 × 2,968.93
  4. Step 4: Simplify right side
    9,542.66x = 42,491,744.47
  5. Step 5: Solve for x
    x = 42,491,744.47/9,542.66
  6. Step 6: Final answer
    x = 4,452.82

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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.