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Finding the Fourth Proportional to 9,531, 13,153.32 and 5,340.60

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Solution

The fourth proportional to 9,531, 13,153.32 and 5,340.60 is: 7,370.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,531 : 13,153.32 = 5,340.60 : x
  2. Step 2: Convert to fraction form
    9,531/13,153.32 = 5,340.60/x
  3. Step 3: Cross multiply
    9,531x = 13,153.32 × 5,340.60
  4. Step 4: Simplify right side
    9,531x = 70,246,620.79
  5. Step 5: Solve for x
    x = 70,246,620.79/9,531
  6. Step 6: Final answer
    x = 7,370.33

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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.