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Finding the Fourth Proportional to 9,151.20, 12,619.16 and 7,829.28

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Solution

The fourth proportional to 9,151.20, 12,619.16 and 7,829.28 is: 10,796.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,151.20 : 12,619.16 = 7,829.28 : x
  2. Step 2: Convert to fraction form
    9,151.20/12,619.16 = 7,829.28/x
  3. Step 3: Cross multiply
    9,151.20x = 12,619.16 × 7,829.28
  4. Step 4: Simplify right side
    9,151.20x = 98,798,937.00
  5. Step 5: Solve for x
    x = 98,798,937.00/9,151.20
  6. Step 6: Final answer
    x = 10,796.28

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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.