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Finding the Fourth Proportional to 9,293.54, 12,825.45 and 5,314.59

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Solution

The fourth proportional to 9,293.54, 12,825.45 and 5,314.59 is: 7,334.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,293.54 : 12,825.45 = 5,314.59 : x
  2. Step 2: Convert to fraction form
    9,293.54/12,825.45 = 5,314.59/x
  3. Step 3: Cross multiply
    9,293.54x = 12,825.45 × 5,314.59
  4. Step 4: Simplify right side
    9,293.54x = 68,162,008.32
  5. Step 5: Solve for x
    x = 68,162,008.32/9,293.54
  6. Step 6: Final answer
    x = 7,334.35

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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.