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Finding the Fourth Proportional to 6,077.04, 9,114.39 and 2,565.89

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Solution

The fourth proportional to 6,077.04, 9,114.39 and 2,565.89 is: 3,848.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,077.04 : 9,114.39 = 2,565.89 : x
  2. Step 2: Convert to fraction form
    6,077.04/9,114.39 = 2,565.89/x
  3. Step 3: Cross multiply
    6,077.04x = 9,114.39 × 2,565.89
  4. Step 4: Simplify right side
    6,077.04x = 23,386,522.16
  5. Step 5: Solve for x
    x = 23,386,522.16/6,077.04
  6. Step 6: Final answer
    x = 3,848.34

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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.