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Finding the Fourth Proportional to 9,311.16, 13,963.50 and 3,069.48

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Solution

The fourth proportional to 9,311.16, 13,963.50 and 3,069.48 is: 4,603.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,311.16 : 13,963.50 = 3,069.48 : x
  2. Step 2: Convert to fraction form
    9,311.16/13,963.50 = 3,069.48/x
  3. Step 3: Cross multiply
    9,311.16x = 13,963.50 × 3,069.48
  4. Step 4: Simplify right side
    9,311.16x = 42,860,683.98
  5. Step 5: Solve for x
    x = 42,860,683.98/9,311.16
  6. Step 6: Final answer
    x = 4,603.15

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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.