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Finding the Fourth Proportional to 6,748.96, 9,309.67 and 4,058.31

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Solution

The fourth proportional to 6,748.96, 9,309.67 and 4,058.31 is: 5,598.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,748.96 : 9,309.67 = 4,058.31 : x
  2. Step 2: Convert to fraction form
    6,748.96/9,309.67 = 4,058.31/x
  3. Step 3: Cross multiply
    6,748.96x = 9,309.67 × 4,058.31
  4. Step 4: Simplify right side
    6,748.96x = 37,781,526.86
  5. Step 5: Solve for x
    x = 37,781,526.86/6,748.96
  6. Step 6: Final answer
    x = 5,598.13

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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.