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Finding the Fourth Proportional to 9,641.16, 13,304.70 and 5,392.35

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Solution

The fourth proportional to 9,641.16, 13,304.70 and 5,392.35 is: 7,441.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,641.16 : 13,304.70 = 5,392.35 : x
  2. Step 2: Convert to fraction form
    9,641.16/13,304.70 = 5,392.35/x
  3. Step 3: Cross multiply
    9,641.16x = 13,304.70 × 5,392.35
  4. Step 4: Simplify right side
    9,641.16x = 71,743,599.05
  5. Step 5: Solve for x
    x = 71,743,599.05/9,641.16
  6. Step 6: Final answer
    x = 7,441.39

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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.