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Finding the Fourth Proportional to 6,294.14, 9,458.51 and 5,882.70

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Solution

The fourth proportional to 6,294.14, 9,458.51 and 5,882.70 is: 8,840.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,294.14 : 9,458.51 = 5,882.70 : x
  2. Step 2: Convert to fraction form
    6,294.14/9,458.51 = 5,882.70/x
  3. Step 3: Cross multiply
    6,294.14x = 9,458.51 × 5,882.70
  4. Step 4: Simplify right side
    6,294.14x = 55,641,547.36
  5. Step 5: Solve for x
    x = 55,641,547.36/6,294.14
  6. Step 6: Final answer
    x = 8,840.22

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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.