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Finding the Fourth Proportional to 9,565.80, 13,193.72 and 5,586.68

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Solution

The fourth proportional to 9,565.80, 13,193.72 and 5,586.68 is: 7,705.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,565.80 : 13,193.72 = 5,586.68 : x
  2. Step 2: Convert to fraction form
    9,565.80/13,193.72 = 5,586.68/x
  3. Step 3: Cross multiply
    9,565.80x = 13,193.72 × 5,586.68
  4. Step 4: Simplify right side
    9,565.80x = 73,709,091.65
  5. Step 5: Solve for x
    x = 73,709,091.65/9,565.80
  6. Step 6: Final answer
    x = 7,705.48

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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.