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Finding the Fourth Proportional to 8,978.62, 12,349.38 and 7,206.34

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Solution

The fourth proportional to 8,978.62, 12,349.38 and 7,206.34 is: 9,911.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,978.62 : 12,349.38 = 7,206.34 : x
  2. Step 2: Convert to fraction form
    8,978.62/12,349.38 = 7,206.34/x
  3. Step 3: Cross multiply
    8,978.62x = 12,349.38 × 7,206.34
  4. Step 4: Simplify right side
    8,978.62x = 88,993,831.07
  5. Step 5: Solve for x
    x = 88,993,831.07/8,978.62
  6. Step 6: Final answer
    x = 9,911.75

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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.