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Finding the Fourth Proportional to 9,155.72, 12,651.38 and 7,307.40

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Solution

The fourth proportional to 9,155.72, 12,651.38 and 7,307.40 is: 10,097.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,155.72 : 12,651.38 = 7,307.40 : x
  2. Step 2: Convert to fraction form
    9,155.72/12,651.38 = 7,307.40/x
  3. Step 3: Cross multiply
    9,155.72x = 12,651.38 × 7,307.40
  4. Step 4: Simplify right side
    9,155.72x = 92,448,694.21
  5. Step 5: Solve for x
    x = 92,448,694.21/9,155.72
  6. Step 6: Final answer
    x = 10,097.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.