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Finding the Fourth Proportional to 9,756.59, 13,464 and 5,280.25

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Solution

The fourth proportional to 9,756.59, 13,464 and 5,280.25 is: 7,286.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,756.59 : 13,464 = 5,280.25 : x
  2. Step 2: Convert to fraction form
    9,756.59/13,464 = 5,280.25/x
  3. Step 3: Cross multiply
    9,756.59x = 13,464 × 5,280.25
  4. Step 4: Simplify right side
    9,756.59x = 71,093,286
  5. Step 5: Solve for x
    x = 71,093,286/9,756.59
  6. Step 6: Final answer
    x = 7,286.69

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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.