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Finding the Fourth Proportional to 9,690.56, 13,372.16 and 5,498.56

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Solution

The fourth proportional to 9,690.56, 13,372.16 and 5,498.56 is: 7,587.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,690.56 : 13,372.16 = 5,498.56 : x
  2. Step 2: Convert to fraction form
    9,690.56/13,372.16 = 5,498.56/x
  3. Step 3: Cross multiply
    9,690.56x = 13,372.16 × 5,498.56
  4. Step 4: Simplify right side
    9,690.56x = 73,527,624.09
  5. Step 5: Solve for x
    x = 73,527,624.09/9,690.56
  6. Step 6: Final answer
    x = 7,587.55

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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.