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Finding the Fourth Proportional to 9,707.75, 13,396.70 and 5,516

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Solution

The fourth proportional to 9,707.75, 13,396.70 and 5,516 is: 7,612.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,707.75 : 13,396.70 = 5,516 : x
  2. Step 2: Convert to fraction form
    9,707.75/13,396.70 = 5,516/x
  3. Step 3: Cross multiply
    9,707.75x = 13,396.70 × 5,516
  4. Step 4: Simplify right side
    9,707.75x = 73,896,197.20
  5. Step 5: Solve for x
    x = 73,896,197.20/9,707.75
  6. Step 6: Final answer
    x = 7,612.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.