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Finding the Fourth Proportional to 9,106.40, 13,659.60 and 5,809.70

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Solution

The fourth proportional to 9,106.40, 13,659.60 and 5,809.70 is: 8,714.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,106.40 : 13,659.60 = 5,809.70 : x
  2. Step 2: Convert to fraction form
    9,106.40/13,659.60 = 5,809.70/x
  3. Step 3: Cross multiply
    9,106.40x = 13,659.60 × 5,809.70
  4. Step 4: Simplify right side
    9,106.40x = 79,358,178.12
  5. Step 5: Solve for x
    x = 79,358,178.12/9,106.40
  6. Step 6: Final answer
    x = 8,714.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.