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Finding the Fourth Proportional to 9,347.34, 12,915.72 and 7,474.38

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Solution

The fourth proportional to 9,347.34, 12,915.72 and 7,474.38 is: 10,327.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,347.34 : 12,915.72 = 7,474.38 : x
  2. Step 2: Convert to fraction form
    9,347.34/12,915.72 = 7,474.38/x
  3. Step 3: Cross multiply
    9,347.34x = 12,915.72 × 7,474.38
  4. Step 4: Simplify right side
    9,347.34x = 96,536,999.25
  5. Step 5: Solve for x
    x = 96,536,999.25/9,347.34
  6. Step 6: Final answer
    x = 10,327.75

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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.