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Finding the Fourth Proportional to 6,089.49, 9,146.70 and 4,012.47

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Solution

The fourth proportional to 6,089.49, 9,146.70 and 4,012.47 is: 6,026.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,089.49 : 9,146.70 = 4,012.47 : x
  2. Step 2: Convert to fraction form
    6,089.49/9,146.70 = 4,012.47/x
  3. Step 3: Cross multiply
    6,089.49x = 9,146.70 × 4,012.47
  4. Step 4: Simplify right side
    6,089.49x = 36,700,859.35
  5. Step 5: Solve for x
    x = 36,700,859.35/6,089.49
  6. Step 6: Final answer
    x = 6,026.92

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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.