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Finding the Fourth Proportional to 7,101.27, 9,789.48 and 4,970.18

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Solution

The fourth proportional to 7,101.27, 9,789.48 and 4,970.18 is: 6,851.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,101.27 : 9,789.48 = 4,970.18 : x
  2. Step 2: Convert to fraction form
    7,101.27/9,789.48 = 4,970.18/x
  3. Step 3: Cross multiply
    7,101.27x = 9,789.48 × 4,970.18
  4. Step 4: Simplify right side
    7,101.27x = 48,655,502.18
  5. Step 5: Solve for x
    x = 48,655,502.18/7,101.27
  6. Step 6: Final answer
    x = 6,851.66

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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.