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Finding the Fourth Proportional to 9,662.24, 13,333.52 and 5,470.24

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Solution

The fourth proportional to 9,662.24, 13,333.52 and 5,470.24 is: 7,548.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,662.24 : 13,333.52 = 5,470.24 : x
  2. Step 2: Convert to fraction form
    9,662.24/13,333.52 = 5,470.24/x
  3. Step 3: Cross multiply
    9,662.24x = 13,333.52 × 5,470.24
  4. Step 4: Simplify right side
    9,662.24x = 72,937,554.44
  5. Step 5: Solve for x
    x = 72,937,554.44/9,662.24
  6. Step 6: Final answer
    x = 7,548.72

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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.