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Finding the Fourth Proportional to 9,391.68, 12,959.62 and 5,614.10

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Solution

The fourth proportional to 9,391.68, 12,959.62 and 5,614.10 is: 7,746.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,391.68 : 12,959.62 = 5,614.10 : x
  2. Step 2: Convert to fraction form
    9,391.68/12,959.62 = 5,614.10/x
  3. Step 3: Cross multiply
    9,391.68x = 12,959.62 × 5,614.10
  4. Step 4: Simplify right side
    9,391.68x = 72,756,602.64
  5. Step 5: Solve for x
    x = 72,756,602.64/9,391.68
  6. Step 6: Final answer
    x = 7,746.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.