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Finding the Fourth Proportional to 9,638.16, 13,290.18 and 6,274.80

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Solution

The fourth proportional to 9,638.16, 13,290.18 and 6,274.80 is: 8,652.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,638.16 : 13,290.18 = 6,274.80 : x
  2. Step 2: Convert to fraction form
    9,638.16/13,290.18 = 6,274.80/x
  3. Step 3: Cross multiply
    9,638.16x = 13,290.18 × 6,274.80
  4. Step 4: Simplify right side
    9,638.16x = 83,393,221.46
  5. Step 5: Solve for x
    x = 83,393,221.46/9,638.16
  6. Step 6: Final answer
    x = 8,652.40

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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.