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Finding the Fourth Proportional to 6,090, 9,135.45 and 4,456.86

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Solution

The fourth proportional to 6,090, 9,135.45 and 4,456.86 is: 6,685.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,090 : 9,135.45 = 4,456.86 : x
  2. Step 2: Convert to fraction form
    6,090/9,135.45 = 4,456.86/x
  3. Step 3: Cross multiply
    6,090x = 9,135.45 × 4,456.86
  4. Step 4: Simplify right side
    6,090x = 40,715,421.69
  5. Step 5: Solve for x
    x = 40,715,421.69/6,090
  6. Step 6: Final answer
    x = 6,685.62

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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.