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Finding the Fourth Proportional to 9,265.90, 12,786.12 and 5,488.40

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Solution

The fourth proportional to 9,265.90, 12,786.12 and 5,488.40 is: 7,573.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,265.90 : 12,786.12 = 5,488.40 : x
  2. Step 2: Convert to fraction form
    9,265.90/12,786.12 = 5,488.40/x
  3. Step 3: Cross multiply
    9,265.90x = 12,786.12 × 5,488.40
  4. Step 4: Simplify right side
    9,265.90x = 70,175,277.08
  5. Step 5: Solve for x
    x = 70,175,277.08/9,265.90
  6. Step 6: Final answer
    x = 7,573.50

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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.