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Finding the Fourth Proportional to 6,281.84, 9,422.10 and 3,160.57

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Solution

The fourth proportional to 6,281.84, 9,422.10 and 3,160.57 is: 4,740.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,281.84 : 9,422.10 = 3,160.57 : x
  2. Step 2: Convert to fraction form
    6,281.84/9,422.10 = 3,160.57/x
  3. Step 3: Cross multiply
    6,281.84x = 9,422.10 × 3,160.57
  4. Step 4: Simplify right side
    6,281.84x = 29,779,159.49
  5. Step 5: Solve for x
    x = 29,779,159.49/6,281.84
  6. Step 6: Final answer
    x = 4,740.52

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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.