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Finding the Fourth Proportional to 6,143.13, 9,214.65 and 2,854.40

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Solution

The fourth proportional to 6,143.13, 9,214.65 and 2,854.40 is: 4,281.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,143.13 : 9,214.65 = 2,854.40 : x
  2. Step 2: Convert to fraction form
    6,143.13/9,214.65 = 2,854.40/x
  3. Step 3: Cross multiply
    6,143.13x = 9,214.65 × 2,854.40
  4. Step 4: Simplify right side
    6,143.13x = 26,302,250.89
  5. Step 5: Solve for x
    x = 26,302,250.89/6,143.13
  6. Step 6: Final answer
    x = 4,281.57

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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.