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Finding the Fourth Proportional to 6,545.72, 9,818.31 and 4,460.51

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Solution

The fourth proportional to 6,545.72, 9,818.31 and 4,460.51 is: 6,690.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,545.72 : 9,818.31 = 4,460.51 : x
  2. Step 2: Convert to fraction form
    6,545.72/9,818.31 = 4,460.51/x
  3. Step 3: Cross multiply
    6,545.72x = 9,818.31 × 4,460.51
  4. Step 4: Simplify right side
    6,545.72x = 43,794,669.94
  5. Step 5: Solve for x
    x = 43,794,669.94/6,545.72
  6. Step 6: Final answer
    x = 6,690.58

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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.