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Finding the Fourth Proportional to 9,275.22, 13,898.43 and 7,322.58

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Solution

The fourth proportional to 9,275.22, 13,898.43 and 7,322.58 is: 10,972.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,275.22 : 13,898.43 = 7,322.58 : x
  2. Step 2: Convert to fraction form
    9,275.22/13,898.43 = 7,322.58/x
  3. Step 3: Cross multiply
    9,275.22x = 13,898.43 × 7,322.58
  4. Step 4: Simplify right side
    9,275.22x = 101,772,365.55
  5. Step 5: Solve for x
    x = 101,772,365.55/9,275.22
  6. Step 6: Final answer
    x = 10,972.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.