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Finding the Fourth Proportional to 6,701.30, 9,237.14 and 5,282.68

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Solution

The fourth proportional to 6,701.30, 9,237.14 and 5,282.68 is: 7,281.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,701.30 : 9,237.14 = 5,282.68 : x
  2. Step 2: Convert to fraction form
    6,701.30/9,237.14 = 5,282.68/x
  3. Step 3: Cross multiply
    6,701.30x = 9,237.14 × 5,282.68
  4. Step 4: Simplify right side
    6,701.30x = 48,796,854.74
  5. Step 5: Solve for x
    x = 48,796,854.74/6,701.30
  6. Step 6: Final answer
    x = 7,281.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.