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Finding the Fourth Proportional to 9,332, 12,878.16 and 5,140.34

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Solution

The fourth proportional to 9,332, 12,878.16 and 5,140.34 is: 7,093.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,332 : 12,878.16 = 5,140.34 : x
  2. Step 2: Convert to fraction form
    9,332/12,878.16 = 5,140.34/x
  3. Step 3: Cross multiply
    9,332x = 12,878.16 × 5,140.34
  4. Step 4: Simplify right side
    9,332x = 66,198,120.97
  5. Step 5: Solve for x
    x = 66,198,120.97/9,332
  6. Step 6: Final answer
    x = 7,093.67

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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.