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Finding the Fourth Proportional to 9,603.72, 14,393.07 and 4,919.76

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Solution

The fourth proportional to 9,603.72, 14,393.07 and 4,919.76 is: 7,373.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,603.72 : 14,393.07 = 4,919.76 : x
  2. Step 2: Convert to fraction form
    9,603.72/14,393.07 = 4,919.76/x
  3. Step 3: Cross multiply
    9,603.72x = 14,393.07 × 4,919.76
  4. Step 4: Simplify right side
    9,603.72x = 70,810,450.06
  5. Step 5: Solve for x
    x = 70,810,450.06/9,603.72
  6. Step 6: Final answer
    x = 7,373.23

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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.