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Finding the Fourth Proportional to 6,265.32, 8,642.34 and 4,140.84

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Solution

The fourth proportional to 6,265.32, 8,642.34 and 4,140.84 is: 5,711.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,265.32 : 8,642.34 = 4,140.84 : x
  2. Step 2: Convert to fraction form
    6,265.32/8,642.34 = 4,140.84/x
  3. Step 3: Cross multiply
    6,265.32x = 8,642.34 × 4,140.84
  4. Step 4: Simplify right side
    6,265.32x = 35,786,547.17
  5. Step 5: Solve for x
    x = 35,786,547.17/6,265.32
  6. Step 6: Final answer
    x = 5,711.85

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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.