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Finding the Fourth Proportional to 6,434.16, 8,877.18 and 4,195.23

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Solution

The fourth proportional to 6,434.16, 8,877.18 and 4,195.23 is: 5,788.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,434.16 : 8,877.18 = 4,195.23 : x
  2. Step 2: Convert to fraction form
    6,434.16/8,877.18 = 4,195.23/x
  3. Step 3: Cross multiply
    6,434.16x = 8,877.18 × 4,195.23
  4. Step 4: Simplify right side
    6,434.16x = 37,241,811.85
  5. Step 5: Solve for x
    x = 37,241,811.85/6,434.16
  6. Step 6: Final answer
    x = 5,788.14

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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.