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Finding the Fourth Proportional to 6,114.65, 9,154.58 and 4,028.36

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Solution

The fourth proportional to 6,114.65, 9,154.58 and 4,028.36 is: 6,031.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,114.65 : 9,154.58 = 4,028.36 : x
  2. Step 2: Convert to fraction form
    6,114.65/9,154.58 = 4,028.36/x
  3. Step 3: Cross multiply
    6,114.65x = 9,154.58 × 4,028.36
  4. Step 4: Simplify right side
    6,114.65x = 36,877,877.97
  5. Step 5: Solve for x
    x = 36,877,877.97/6,114.65
  6. Step 6: Final answer
    x = 6,031.07

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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.