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Finding the Fourth Proportional to 9,454.46, 14,182.16 and 6,693.48

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Solution

The fourth proportional to 9,454.46, 14,182.16 and 6,693.48 is: 10,040.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,454.46 : 14,182.16 = 6,693.48 : x
  2. Step 2: Convert to fraction form
    9,454.46/14,182.16 = 6,693.48/x
  3. Step 3: Cross multiply
    9,454.46x = 14,182.16 × 6,693.48
  4. Step 4: Simplify right side
    9,454.46x = 94,927,970.85
  5. Step 5: Solve for x
    x = 94,927,970.85/9,454.46
  6. Step 6: Final answer
    x = 10,040.55

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