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Finding the Fourth Proportional to 9,689.55, 13,366.62 and 6,334.32

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Solution

The fourth proportional to 9,689.55, 13,366.62 and 6,334.32 is: 8,738.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,689.55 : 13,366.62 = 6,334.32 : x
  2. Step 2: Convert to fraction form
    9,689.55/13,366.62 = 6,334.32/x
  3. Step 3: Cross multiply
    9,689.55x = 13,366.62 × 6,334.32
  4. Step 4: Simplify right side
    9,689.55x = 84,668,448.40
  5. Step 5: Solve for x
    x = 84,668,448.40/9,689.55
  6. Step 6: Final answer
    x = 8,738.12

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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.