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Finding the Fourth Proportional to 6,425.74, 9,616.69 and 5,386.92

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Solution

The fourth proportional to 6,425.74, 9,616.69 and 5,386.92 is: 8,062.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,425.74 : 9,616.69 = 5,386.92 : x
  2. Step 2: Convert to fraction form
    6,425.74/9,616.69 = 5,386.92/x
  3. Step 3: Cross multiply
    6,425.74x = 9,616.69 × 5,386.92
  4. Step 4: Simplify right side
    6,425.74x = 51,804,339.69
  5. Step 5: Solve for x
    x = 51,804,339.69/6,425.74
  6. Step 6: Final answer
    x = 8,062.00

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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.