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Finding the Fourth Proportional to 9,809.34, 13,535.80 and 5,560.08

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Solution

The fourth proportional to 9,809.34, 13,535.80 and 5,560.08 is: 7,672.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,809.34 : 13,535.80 = 5,560.08 : x
  2. Step 2: Convert to fraction form
    9,809.34/13,535.80 = 5,560.08/x
  3. Step 3: Cross multiply
    9,809.34x = 13,535.80 × 5,560.08
  4. Step 4: Simplify right side
    9,809.34x = 75,260,130.86
  5. Step 5: Solve for x
    x = 75,260,130.86/9,809.34
  6. Step 6: Final answer
    x = 7,672.29

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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.