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Finding the Fourth Proportional to 9,515.84, 13,132.68 and 5,324

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Solution

The fourth proportional to 9,515.84, 13,132.68 and 5,324 is: 7,347.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,515.84 : 13,132.68 = 5,324 : x
  2. Step 2: Convert to fraction form
    9,515.84/13,132.68 = 5,324/x
  3. Step 3: Cross multiply
    9,515.84x = 13,132.68 × 5,324
  4. Step 4: Simplify right side
    9,515.84x = 69,918,388.32
  5. Step 5: Solve for x
    x = 69,918,388.32/9,515.84
  6. Step 6: Final answer
    x = 7,347.58

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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.