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Finding the Fourth Proportional to 6,143.72, 9,215.40 and 1,526.72

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Solution

The fourth proportional to 6,143.72, 9,215.40 and 1,526.72 is: 2,290.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,143.72 : 9,215.40 = 1,526.72 : x
  2. Step 2: Convert to fraction form
    6,143.72/9,215.40 = 1,526.72/x
  3. Step 3: Cross multiply
    6,143.72x = 9,215.40 × 1,526.72
  4. Step 4: Simplify right side
    6,143.72x = 14,069,335.49
  5. Step 5: Solve for x
    x = 14,069,335.49/6,143.72
  6. Step 6: Final answer
    x = 2,290.04

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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.