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Finding the Fourth Proportional to 9,254, 12,770.52 and 5,062.25

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Solution

The fourth proportional to 9,254, 12,770.52 and 5,062.25 is: 6,985.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,254 : 12,770.52 = 5,062.25 : x
  2. Step 2: Convert to fraction form
    9,254/12,770.52 = 5,062.25/x
  3. Step 3: Cross multiply
    9,254x = 12,770.52 × 5,062.25
  4. Step 4: Simplify right side
    9,254x = 64,647,564.87
  5. Step 5: Solve for x
    x = 64,647,564.87/9,254
  6. Step 6: Final answer
    x = 6,985.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.