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Finding the Fourth Proportional to 9,468, 13,065.84 and 5,276.52

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Solution

The fourth proportional to 9,468, 13,065.84 and 5,276.52 is: 7,281.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,468 : 13,065.84 = 5,276.52 : x
  2. Step 2: Convert to fraction form
    9,468/13,065.84 = 5,276.52/x
  3. Step 3: Cross multiply
    9,468x = 13,065.84 × 5,276.52
  4. Step 4: Simplify right side
    9,468x = 68,942,166.08
  5. Step 5: Solve for x
    x = 68,942,166.08/9,468
  6. Step 6: Final answer
    x = 7,281.60

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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.