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Finding the Fourth Proportional to 7,170.50, 9,877.65 and 6,104.84

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Solution

The fourth proportional to 7,170.50, 9,877.65 and 6,104.84 is: 8,409.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,170.50 : 9,877.65 = 6,104.84 : x
  2. Step 2: Convert to fraction form
    7,170.50/9,877.65 = 6,104.84/x
  3. Step 3: Cross multiply
    7,170.50x = 9,877.65 × 6,104.84
  4. Step 4: Simplify right side
    7,170.50x = 60,301,472.83
  5. Step 5: Solve for x
    x = 60,301,472.83/7,170.50
  6. Step 6: Final answer
    x = 8,409.66

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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.