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Finding the Fourth Proportional to 6,153.47, 9,230.20 and 1,536.47

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Solution

The fourth proportional to 6,153.47, 9,230.20 and 1,536.47 is: 2,304.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,153.47 : 9,230.20 = 1,536.47 : x
  2. Step 2: Convert to fraction form
    6,153.47/9,230.20 = 1,536.47/x
  3. Step 3: Cross multiply
    6,153.47x = 9,230.20 × 1,536.47
  4. Step 4: Simplify right side
    6,153.47x = 14,181,918.66
  5. Step 5: Solve for x
    x = 14,181,918.66/6,153.47
  6. Step 6: Final answer
    x = 2,304.70

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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.