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Finding the Fourth Proportional to 9,773.87, 14,650.02 and 4,507.38

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Solution

The fourth proportional to 9,773.87, 14,650.02 and 4,507.38 is: 6,756.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,773.87 : 14,650.02 = 4,507.38 : x
  2. Step 2: Convert to fraction form
    9,773.87/14,650.02 = 4,507.38/x
  3. Step 3: Cross multiply
    9,773.87x = 14,650.02 × 4,507.38
  4. Step 4: Simplify right side
    9,773.87x = 66,033,207.15
  5. Step 5: Solve for x
    x = 66,033,207.15/9,773.87
  6. Step 6: Final answer
    x = 6,756.10

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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.