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Finding the Fourth Proportional to 9,382, 14,062.86 and 6,097.44

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Solution

The fourth proportional to 9,382, 14,062.86 and 6,097.44 is: 9,139.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,382 : 14,062.86 = 6,097.44 : x
  2. Step 2: Convert to fraction form
    9,382/14,062.86 = 6,097.44/x
  3. Step 3: Cross multiply
    9,382x = 14,062.86 × 6,097.44
  4. Step 4: Simplify right side
    9,382x = 85,747,445.08
  5. Step 5: Solve for x
    x = 85,747,445.08/9,382
  6. Step 6: Final answer
    x = 9,139.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.