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Finding the Fourth Proportional to 6,514.25, 8,989.22 and 4,156.13

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Solution

The fourth proportional to 6,514.25, 8,989.22 and 4,156.13 is: 5,735.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,514.25 : 8,989.22 = 4,156.13 : x
  2. Step 2: Convert to fraction form
    6,514.25/8,989.22 = 4,156.13/x
  3. Step 3: Cross multiply
    6,514.25x = 8,989.22 × 4,156.13
  4. Step 4: Simplify right side
    6,514.25x = 37,360,301.19
  5. Step 5: Solve for x
    x = 37,360,301.19/6,514.25
  6. Step 6: Final answer
    x = 5,735.17

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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.