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Finding the Fourth Proportional to 9,009.12, 12,435.24 and 5,233.20

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Solution

The fourth proportional to 9,009.12, 12,435.24 and 5,233.20 is: 7,223.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,009.12 : 12,435.24 = 5,233.20 : x
  2. Step 2: Convert to fraction form
    9,009.12/12,435.24 = 5,233.20/x
  3. Step 3: Cross multiply
    9,009.12x = 12,435.24 × 5,233.20
  4. Step 4: Simplify right side
    9,009.12x = 65,076,097.97
  5. Step 5: Solve for x
    x = 65,076,097.97/9,009.12
  6. Step 6: Final answer
    x = 7,223.36

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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.