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Finding the Fourth Proportional to 8,770.95, 13,123.22 and 4,878.09

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Solution

The fourth proportional to 8,770.95, 13,123.22 and 4,878.09 is: 7,298.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,770.95 : 13,123.22 = 4,878.09 : x
  2. Step 2: Convert to fraction form
    8,770.95/13,123.22 = 4,878.09/x
  3. Step 3: Cross multiply
    8,770.95x = 13,123.22 × 4,878.09
  4. Step 4: Simplify right side
    8,770.95x = 64,016,223.86
  5. Step 5: Solve for x
    x = 64,016,223.86/8,770.95
  6. Step 6: Final answer
    x = 7,298.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.