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Finding the Fourth Proportional to 9,887.30, 13,644 and 5,638.52

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Solution

The fourth proportional to 9,887.30, 13,644 and 5,638.52 is: 7,780.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,887.30 : 13,644 = 5,638.52 : x
  2. Step 2: Convert to fraction form
    9,887.30/13,644 = 5,638.52/x
  3. Step 3: Cross multiply
    9,887.30x = 13,644 × 5,638.52
  4. Step 4: Simplify right side
    9,887.30x = 76,931,966.88
  5. Step 5: Solve for x
    x = 76,931,966.88/9,887.30
  6. Step 6: Final answer
    x = 7,780.89

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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.