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Finding the Fourth Proportional to 10,347, 14,293.38 and 9,227.58

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Solution

The fourth proportional to 10,347, 14,293.38 and 9,227.58 is: 12,747.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,347 : 14,293.38 = 9,227.58 : x
  2. Step 2: Convert to fraction form
    10,347/14,293.38 = 9,227.58/x
  3. Step 3: Cross multiply
    10,347x = 14,293.38 × 9,227.58
  4. Step 4: Simplify right side
    10,347x = 131,893,307.42
  5. Step 5: Solve for x
    x = 131,893,307.42/10,347
  6. Step 6: Final answer
    x = 12,747.01

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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.