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Finding the Fourth Proportional to 6,543.87, 9,033.89 and 4,430.58

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Solution

The fourth proportional to 6,543.87, 9,033.89 and 4,430.58 is: 6,116.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,543.87 : 9,033.89 = 4,430.58 : x
  2. Step 2: Convert to fraction form
    6,543.87/9,033.89 = 4,430.58/x
  3. Step 3: Cross multiply
    6,543.87x = 9,033.89 × 4,430.58
  4. Step 4: Simplify right side
    6,543.87x = 40,025,316.33
  5. Step 5: Solve for x
    x = 40,025,316.33/6,543.87
  6. Step 6: Final answer
    x = 6,116.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.