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Finding the Fourth Proportional to 6,854.29, 9,459.23 and 3,870.15

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Solution

The fourth proportional to 6,854.29, 9,459.23 and 3,870.15 is: 5,340.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,854.29 : 9,459.23 = 3,870.15 : x
  2. Step 2: Convert to fraction form
    6,854.29/9,459.23 = 3,870.15/x
  3. Step 3: Cross multiply
    6,854.29x = 9,459.23 × 3,870.15
  4. Step 4: Simplify right side
    6,854.29x = 36,608,619.63
  5. Step 5: Solve for x
    x = 36,608,619.63/6,854.29
  6. Step 6: Final answer
    x = 5,340.98

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Why These Related Problems?

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