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Finding the Fourth Proportional to 9,335.52, 14,008.14 and 7,349

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Solution

The fourth proportional to 9,335.52, 14,008.14 and 7,349 is: 11,027.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,335.52 : 14,008.14 = 7,349 : x
  2. Step 2: Convert to fraction form
    9,335.52/14,008.14 = 7,349/x
  3. Step 3: Cross multiply
    9,335.52x = 14,008.14 × 7,349
  4. Step 4: Simplify right side
    9,335.52x = 102,945,820.86
  5. Step 5: Solve for x
    x = 102,945,820.86/9,335.52
  6. Step 6: Final answer
    x = 11,027.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.