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Finding the Fourth Proportional to 9,153.84, 12,634.56 and 6,014.28

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Solution

The fourth proportional to 9,153.84, 12,634.56 and 6,014.28 is: 8,301.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,153.84 : 12,634.56 = 6,014.28 : x
  2. Step 2: Convert to fraction form
    9,153.84/12,634.56 = 6,014.28/x
  3. Step 3: Cross multiply
    9,153.84x = 12,634.56 × 6,014.28
  4. Step 4: Simplify right side
    9,153.84x = 75,987,781.52
  5. Step 5: Solve for x
    x = 75,987,781.52/9,153.84
  6. Step 6: Final answer
    x = 8,301.19

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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.