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Finding the Fourth Proportional to 9,786.76, 13,505.72 and 5,595.10

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Solution

The fourth proportional to 9,786.76, 13,505.72 and 5,595.10 is: 7,721.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,786.76 : 13,505.72 = 5,595.10 : x
  2. Step 2: Convert to fraction form
    9,786.76/13,505.72 = 5,595.10/x
  3. Step 3: Cross multiply
    9,786.76x = 13,505.72 × 5,595.10
  4. Step 4: Simplify right side
    9,786.76x = 75,565,853.97
  5. Step 5: Solve for x
    x = 75,565,853.97/9,786.76
  6. Step 6: Final answer
    x = 7,721.23

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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.