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Finding the Fourth Proportional to 9,699, 13,385.16 and 5,722.44

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Solution

The fourth proportional to 9,699, 13,385.16 and 5,722.44 is: 7,897.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,699 : 13,385.16 = 5,722.44 : x
  2. Step 2: Convert to fraction form
    9,699/13,385.16 = 5,722.44/x
  3. Step 3: Cross multiply
    9,699x = 13,385.16 × 5,722.44
  4. Step 4: Simplify right side
    9,699x = 76,595,774.99
  5. Step 5: Solve for x
    x = 76,595,774.99/9,699
  6. Step 6: Final answer
    x = 7,897.29

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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.