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Finding the Fourth Proportional to 9,335.64, 12,882.65 and 5,356.38

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Solution

The fourth proportional to 9,335.64, 12,882.65 and 5,356.38 is: 7,391.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,335.64 : 12,882.65 = 5,356.38 : x
  2. Step 2: Convert to fraction form
    9,335.64/12,882.65 = 5,356.38/x
  3. Step 3: Cross multiply
    9,335.64x = 12,882.65 × 5,356.38
  4. Step 4: Simplify right side
    9,335.64x = 69,004,368.81
  5. Step 5: Solve for x
    x = 69,004,368.81/9,335.64
  6. Step 6: Final answer
    x = 7,391.50

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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.