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Finding the Fourth Proportional to 9,278.16, 12,800.64 and 5,296.38

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Solution

The fourth proportional to 9,278.16, 12,800.64 and 5,296.38 is: 7,307.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,278.16 : 12,800.64 = 5,296.38 : x
  2. Step 2: Convert to fraction form
    9,278.16/12,800.64 = 5,296.38/x
  3. Step 3: Cross multiply
    9,278.16x = 12,800.64 × 5,296.38
  4. Step 4: Simplify right side
    9,278.16x = 67,797,053.68
  5. Step 5: Solve for x
    x = 67,797,053.68/9,278.16
  6. Step 6: Final answer
    x = 7,307.17

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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.