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Finding the Fourth Proportional to 6,749.76, 9,312.96 and 4,101.12

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Solution

The fourth proportional to 6,749.76, 9,312.96 and 4,101.12 is: 5,658.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,749.76 : 9,312.96 = 4,101.12 : x
  2. Step 2: Convert to fraction form
    6,749.76/9,312.96 = 4,101.12/x
  3. Step 3: Cross multiply
    6,749.76x = 9,312.96 × 4,101.12
  4. Step 4: Simplify right side
    6,749.76x = 38,193,566.52
  5. Step 5: Solve for x
    x = 38,193,566.52/6,749.76
  6. Step 6: Final answer
    x = 5,658.51

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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.