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Finding the Fourth Proportional to 6,386.14, 9,562.80 and 3,913.46

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Solution

The fourth proportional to 6,386.14, 9,562.80 and 3,913.46 is: 5,860.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,386.14 : 9,562.80 = 3,913.46 : x
  2. Step 2: Convert to fraction form
    6,386.14/9,562.80 = 3,913.46/x
  3. Step 3: Cross multiply
    6,386.14x = 9,562.80 × 3,913.46
  4. Step 4: Simplify right side
    6,386.14x = 37,423,635.29
  5. Step 5: Solve for x
    x = 37,423,635.29/6,386.14
  6. Step 6: Final answer
    x = 5,860.14

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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.