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Finding the Fourth Proportional to 9,742.44, 14,612.22 and 3,585

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Solution

The fourth proportional to 9,742.44, 14,612.22 and 3,585 is: 5,376.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,742.44 : 14,612.22 = 3,585 : x
  2. Step 2: Convert to fraction form
    9,742.44/14,612.22 = 3,585/x
  3. Step 3: Cross multiply
    9,742.44x = 14,612.22 × 3,585
  4. Step 4: Simplify right side
    9,742.44x = 52,384,808.70
  5. Step 5: Solve for x
    x = 52,384,808.70/9,742.44
  6. Step 6: Final answer
    x = 5,376.97

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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.