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Finding the Fourth Proportional to 9,682.80, 14,503.32 and 6,545.58

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Solution

The fourth proportional to 9,682.80, 14,503.32 and 6,545.58 is: 9,804.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,682.80 : 14,503.32 = 6,545.58 : x
  2. Step 2: Convert to fraction form
    9,682.80/14,503.32 = 6,545.58/x
  3. Step 3: Cross multiply
    9,682.80x = 14,503.32 × 6,545.58
  4. Step 4: Simplify right side
    9,682.80x = 94,932,641.33
  5. Step 5: Solve for x
    x = 94,932,641.33/9,682.80
  6. Step 6: Final answer
    x = 9,804.26

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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.