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Finding the Fourth Proportional to 9,652.30, 13,320.06 and 5,403.29

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Solution

The fourth proportional to 9,652.30, 13,320.06 and 5,403.29 is: 7,456.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,652.30 : 13,320.06 = 5,403.29 : x
  2. Step 2: Convert to fraction form
    9,652.30/13,320.06 = 5,403.29/x
  3. Step 3: Cross multiply
    9,652.30x = 13,320.06 × 5,403.29
  4. Step 4: Simplify right side
    9,652.30x = 71,972,165.45
  5. Step 5: Solve for x
    x = 71,972,165.45/9,652.30
  6. Step 6: Final answer
    x = 7,456.48

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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.