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Finding the Fourth Proportional to 9,023.66, 13,537.53 and 4,094.71

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Solution

The fourth proportional to 9,023.66, 13,537.53 and 4,094.71 is: 6,142.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,023.66 : 13,537.53 = 4,094.71 : x
  2. Step 2: Convert to fraction form
    9,023.66/13,537.53 = 4,094.71/x
  3. Step 3: Cross multiply
    9,023.66x = 13,537.53 × 4,094.71
  4. Step 4: Simplify right side
    9,023.66x = 55,432,225.62
  5. Step 5: Solve for x
    x = 55,432,225.62/9,023.66
  6. Step 6: Final answer
    x = 6,142.99

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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.