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Finding the Fourth Proportional to 9,136.95, 13,710.65 and 4,976.79

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Solution

The fourth proportional to 9,136.95, 13,710.65 and 4,976.79 is: 7,468.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,136.95 : 13,710.65 = 4,976.79 : x
  2. Step 2: Convert to fraction form
    9,136.95/13,710.65 = 4,976.79/x
  3. Step 3: Cross multiply
    9,136.95x = 13,710.65 × 4,976.79
  4. Step 4: Simplify right side
    9,136.95x = 68,235,000.93
  5. Step 5: Solve for x
    x = 68,235,000.93/9,136.95
  6. Step 6: Final answer
    x = 7,468.03

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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.