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Finding the Fourth Proportional to 9,358, 12,914.05 and 5,166.25

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Solution

The fourth proportional to 9,358, 12,914.05 and 5,166.25 is: 7,129.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,358 : 12,914.05 = 5,166.25 : x
  2. Step 2: Convert to fraction form
    9,358/12,914.05 = 5,166.25/x
  3. Step 3: Cross multiply
    9,358x = 12,914.05 × 5,166.25
  4. Step 4: Simplify right side
    9,358x = 66,717,223.73
  5. Step 5: Solve for x
    x = 66,717,223.73/9,358
  6. Step 6: Final answer
    x = 7,129.43

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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.