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Finding the Fourth Proportional to 9,106.52, 13,661.60 and 2,868.10

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Solution

The fourth proportional to 9,106.52, 13,661.60 and 2,868.10 is: 4,302.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,106.52 : 13,661.60 = 2,868.10 : x
  2. Step 2: Convert to fraction form
    9,106.52/13,661.60 = 2,868.10/x
  3. Step 3: Cross multiply
    9,106.52x = 13,661.60 × 2,868.10
  4. Step 4: Simplify right side
    9,106.52x = 39,182,786.47
  5. Step 5: Solve for x
    x = 39,182,786.47/9,106.52
  6. Step 6: Final answer
    x = 4,302.72

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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.