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Finding the Fourth Proportional to 9,234.95, 12,744.74 and 5,460.32

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Solution

The fourth proportional to 9,234.95, 12,744.74 and 5,460.32 is: 7,535.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,234.95 : 12,744.74 = 5,460.32 : x
  2. Step 2: Convert to fraction form
    9,234.95/12,744.74 = 5,460.32/x
  3. Step 3: Cross multiply
    9,234.95x = 12,744.74 × 5,460.32
  4. Step 4: Simplify right side
    9,234.95x = 69,590,422.15
  5. Step 5: Solve for x
    x = 69,590,422.15/9,234.95
  6. Step 6: Final answer
    x = 7,535.55

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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.