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Finding the Fourth Proportional to 9,937.34, 14,897.10 and 5,488.28

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Solution

The fourth proportional to 9,937.34, 14,897.10 and 5,488.28 is: 8,227.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,937.34 : 14,897.10 = 5,488.28 : x
  2. Step 2: Convert to fraction form
    9,937.34/14,897.10 = 5,488.28/x
  3. Step 3: Cross multiply
    9,937.34x = 14,897.10 × 5,488.28
  4. Step 4: Simplify right side
    9,937.34x = 81,759,455.99
  5. Step 5: Solve for x
    x = 81,759,455.99/9,937.34
  6. Step 6: Final answer
    x = 8,227.50

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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.