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Finding the Fourth Proportional to 9,296.88, 13,948.56 and 4,106.40

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Solution

The fourth proportional to 9,296.88, 13,948.56 and 4,106.40 is: 6,161.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,296.88 : 13,948.56 = 4,106.40 : x
  2. Step 2: Convert to fraction form
    9,296.88/13,948.56 = 4,106.40/x
  3. Step 3: Cross multiply
    9,296.88x = 13,948.56 × 4,106.40
  4. Step 4: Simplify right side
    9,296.88x = 57,278,366.78
  5. Step 5: Solve for x
    x = 57,278,366.78/9,296.88
  6. Step 6: Final answer
    x = 6,161.03

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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.