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Finding the Fourth Proportional to 9,599.67, 14,390.25 and 4,921.87

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Solution

The fourth proportional to 9,599.67, 14,390.25 and 4,921.87 is: 7,378.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,599.67 : 14,390.25 = 4,921.87 : x
  2. Step 2: Convert to fraction form
    9,599.67/14,390.25 = 4,921.87/x
  3. Step 3: Cross multiply
    9,599.67x = 14,390.25 × 4,921.87
  4. Step 4: Simplify right side
    9,599.67x = 70,826,939.77
  5. Step 5: Solve for x
    x = 70,826,939.77/9,599.67
  6. Step 6: Final answer
    x = 7,378.06

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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.