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Finding the Fourth Proportional to 6,748.52, 9,316.22 and 4,061.14

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Solution

The fourth proportional to 6,748.52, 9,316.22 and 4,061.14 is: 5,606.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,748.52 : 9,316.22 = 4,061.14 : x
  2. Step 2: Convert to fraction form
    6,748.52/9,316.22 = 4,061.14/x
  3. Step 3: Cross multiply
    6,748.52x = 9,316.22 × 4,061.14
  4. Step 4: Simplify right side
    6,748.52x = 37,834,430.09
  5. Step 5: Solve for x
    x = 37,834,430.09/6,748.52
  6. Step 6: Final answer
    x = 5,606.33

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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.