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Finding the Fourth Proportional to 7,010.92, 9,670.80 and 4,176.43

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Solution

The fourth proportional to 7,010.92, 9,670.80 and 4,176.43 is: 5,760.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,010.92 : 9,670.80 = 4,176.43 : x
  2. Step 2: Convert to fraction form
    7,010.92/9,670.80 = 4,176.43/x
  3. Step 3: Cross multiply
    7,010.92x = 9,670.80 × 4,176.43
  4. Step 4: Simplify right side
    7,010.92x = 40,389,419.24
  5. Step 5: Solve for x
    x = 40,389,419.24/7,010.92
  6. Step 6: Final answer
    x = 5,760.93

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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.