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Finding the Fourth Proportional to 9,653.12, 13,335.36 and 6,523.04

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Solution

The fourth proportional to 9,653.12, 13,335.36 and 6,523.04 is: 9,011.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,653.12 : 13,335.36 = 6,523.04 : x
  2. Step 2: Convert to fraction form
    9,653.12/13,335.36 = 6,523.04/x
  3. Step 3: Cross multiply
    9,653.12x = 13,335.36 × 6,523.04
  4. Step 4: Simplify right side
    9,653.12x = 86,987,086.69
  5. Step 5: Solve for x
    x = 86,987,086.69/9,653.12
  6. Step 6: Final answer
    x = 9,011.29

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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.