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Finding the Fourth Proportional to 9,318, 12,859.04 and 5,126.26

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Solution

The fourth proportional to 9,318, 12,859.04 and 5,126.26 is: 7,074.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,318 : 12,859.04 = 5,126.26 : x
  2. Step 2: Convert to fraction form
    9,318/12,859.04 = 5,126.26/x
  3. Step 3: Cross multiply
    9,318x = 12,859.04 × 5,126.26
  4. Step 4: Simplify right side
    9,318x = 65,918,782.39
  5. Step 5: Solve for x
    x = 65,918,782.39/9,318
  6. Step 6: Final answer
    x = 7,074.35

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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.