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Finding the Fourth Proportional to 9,153.92, 12,642.72 and 7,083.20

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Solution

The fourth proportional to 9,153.92, 12,642.72 and 7,083.20 is: 9,782.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,153.92 : 12,642.72 = 7,083.20 : x
  2. Step 2: Convert to fraction form
    9,153.92/12,642.72 = 7,083.20/x
  3. Step 3: Cross multiply
    9,153.92x = 12,642.72 × 7,083.20
  4. Step 4: Simplify right side
    9,153.92x = 89,550,914.30
  5. Step 5: Solve for x
    x = 89,550,914.30/9,153.92
  6. Step 6: Final answer
    x = 9,782.79

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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.