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Finding the Fourth Proportional to 9,952.48, 13,647.08 and 9,693.28

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Solution

The fourth proportional to 9,952.48, 13,647.08 and 9,693.28 is: 13,291.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,952.48 : 13,647.08 = 9,693.28 : x
  2. Step 2: Convert to fraction form
    9,952.48/13,647.08 = 9,693.28/x
  3. Step 3: Cross multiply
    9,952.48x = 13,647.08 × 9,693.28
  4. Step 4: Simplify right side
    9,952.48x = 132,284,967.62
  5. Step 5: Solve for x
    x = 132,284,967.62/9,952.48
  6. Step 6: Final answer
    x = 13,291.66

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.