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Finding the Fourth Proportional to 9,293.48, 12,825.82 and 5,102.60

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Solution

The fourth proportional to 9,293.48, 12,825.82 and 5,102.60 is: 7,042.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,293.48 : 12,825.82 = 5,102.60 : x
  2. Step 2: Convert to fraction form
    9,293.48/12,825.82 = 5,102.60/x
  3. Step 3: Cross multiply
    9,293.48x = 12,825.82 × 5,102.60
  4. Step 4: Simplify right side
    9,293.48x = 65,445,029.13
  5. Step 5: Solve for x
    x = 65,445,029.13/9,293.48
  6. Step 6: Final answer
    x = 7,042.04

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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.