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Finding the Fourth Proportional to 9,870.32, 13,616.67 and 5,889.12

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Solution

The fourth proportional to 9,870.32, 13,616.67 and 5,889.12 is: 8,124.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,870.32 : 13,616.67 = 5,889.12 : x
  2. Step 2: Convert to fraction form
    9,870.32/13,616.67 = 5,889.12/x
  3. Step 3: Cross multiply
    9,870.32x = 13,616.67 × 5,889.12
  4. Step 4: Simplify right side
    9,870.32x = 80,190,203.63
  5. Step 5: Solve for x
    x = 80,190,203.63/9,870.32
  6. Step 6: Final answer
    x = 8,124.38

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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.