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Finding the Fourth Proportional to 9,293.68, 12,825.30 and 5,102.20

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Solution

The fourth proportional to 9,293.68, 12,825.30 and 5,102.20 is: 7,041.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,293.68 : 12,825.30 = 5,102.20 : x
  2. Step 2: Convert to fraction form
    9,293.68/12,825.30 = 5,102.20/x
  3. Step 3: Cross multiply
    9,293.68x = 12,825.30 × 5,102.20
  4. Step 4: Simplify right side
    9,293.68x = 65,437,245.66
  5. Step 5: Solve for x
    x = 65,437,245.66/9,293.68
  6. Step 6: Final answer
    x = 7,041.05

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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.