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Finding the Fourth Proportional to 9,693.68, 14,540.52 and 3,120.32

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Solution

The fourth proportional to 9,693.68, 14,540.52 and 3,120.32 is: 4,680.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,693.68 : 14,540.52 = 3,120.32 : x
  2. Step 2: Convert to fraction form
    9,693.68/14,540.52 = 3,120.32/x
  3. Step 3: Cross multiply
    9,693.68x = 14,540.52 × 3,120.32
  4. Step 4: Simplify right side
    9,693.68x = 45,371,075.37
  5. Step 5: Solve for x
    x = 45,371,075.37/9,693.68
  6. Step 6: Final answer
    x = 4,680.48

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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.