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Finding the Fourth Proportional to 9,106.57, 13,656.40 and 4,357.86

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Solution

The fourth proportional to 9,106.57, 13,656.40 and 4,357.86 is: 6,535.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,106.57 : 13,656.40 = 4,357.86 : x
  2. Step 2: Convert to fraction form
    9,106.57/13,656.40 = 4,357.86/x
  3. Step 3: Cross multiply
    9,106.57x = 13,656.40 × 4,357.86
  4. Step 4: Simplify right side
    9,106.57x = 59,512,617.20
  5. Step 5: Solve for x
    x = 59,512,617.20/9,106.57
  6. Step 6: Final answer
    x = 6,535.13

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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.