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Finding the Fourth Proportional to 9,001.74, 13,501.05 and 4,070.24

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Solution

The fourth proportional to 9,001.74, 13,501.05 and 4,070.24 is: 6,104.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,001.74 : 13,501.05 = 4,070.24 : x
  2. Step 2: Convert to fraction form
    9,001.74/13,501.05 = 4,070.24/x
  3. Step 3: Cross multiply
    9,001.74x = 13,501.05 × 4,070.24
  4. Step 4: Simplify right side
    9,001.74x = 54,952,446.25
  5. Step 5: Solve for x
    x = 54,952,446.25/9,001.74
  6. Step 6: Final answer
    x = 6,104.65

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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.