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Finding the Fourth Proportional to 6,558.86, 9,045.32 and 4,200.54

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Solution

The fourth proportional to 6,558.86, 9,045.32 and 4,200.54 is: 5,792.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,558.86 : 9,045.32 = 4,200.54 : x
  2. Step 2: Convert to fraction form
    6,558.86/9,045.32 = 4,200.54/x
  3. Step 3: Cross multiply
    6,558.86x = 9,045.32 × 4,200.54
  4. Step 4: Simplify right side
    6,558.86x = 37,995,207.47
  5. Step 5: Solve for x
    x = 37,995,207.47/6,558.86
  6. Step 6: Final answer
    x = 5,792.96

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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.