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Finding the Fourth Proportional to 9,386, 12,952.68 and 5,194.52

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Solution

The fourth proportional to 9,386, 12,952.68 and 5,194.52 is: 7,168.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,386 : 12,952.68 = 5,194.52 : x
  2. Step 2: Convert to fraction form
    9,386/12,952.68 = 5,194.52/x
  3. Step 3: Cross multiply
    9,386x = 12,952.68 × 5,194.52
  4. Step 4: Simplify right side
    9,386x = 67,282,955.31
  5. Step 5: Solve for x
    x = 67,282,955.31/9,386
  6. Step 6: Final answer
    x = 7,168.44

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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.