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Finding the Fourth Proportional to 6,545.42, 9,820.72 and 2,385.72

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Solution

The fourth proportional to 6,545.42, 9,820.72 and 2,385.72 is: 3,579.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,545.42 : 9,820.72 = 2,385.72 : x
  2. Step 2: Convert to fraction form
    6,545.42/9,820.72 = 2,385.72/x
  3. Step 3: Cross multiply
    6,545.42x = 9,820.72 × 2,385.72
  4. Step 4: Simplify right side
    6,545.42x = 23,429,488.12
  5. Step 5: Solve for x
    x = 23,429,488.12/6,545.42
  6. Step 6: Final answer
    x = 3,579.52

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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.