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Finding the Fourth Proportional to 9,264.88, 13,897.32 and 2,339.38

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Solution

The fourth proportional to 9,264.88, 13,897.32 and 2,339.38 is: 3,509.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,264.88 : 13,897.32 = 2,339.38 : x
  2. Step 2: Convert to fraction form
    9,264.88/13,897.32 = 2,339.38/x
  3. Step 3: Cross multiply
    9,264.88x = 13,897.32 × 2,339.38
  4. Step 4: Simplify right side
    9,264.88x = 32,511,031.28
  5. Step 5: Solve for x
    x = 32,511,031.28/9,264.88
  6. Step 6: Final answer
    x = 3,509.06

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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.