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Finding the Fourth Proportional to 9,690.88, 14,530.88 and 4,749.92

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Solution

The fourth proportional to 9,690.88, 14,530.88 and 4,749.92 is: 7,122.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,690.88 : 14,530.88 = 4,749.92 : x
  2. Step 2: Convert to fraction form
    9,690.88/14,530.88 = 4,749.92/x
  3. Step 3: Cross multiply
    9,690.88x = 14,530.88 × 4,749.92
  4. Step 4: Simplify right side
    9,690.88x = 69,020,517.53
  5. Step 5: Solve for x
    x = 69,020,517.53/9,690.88
  6. Step 6: Final answer
    x = 7,122.21

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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.