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Finding the Fourth Proportional to 9,612.46, 13,266.21 and 5,633.74

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Solution

The fourth proportional to 9,612.46, 13,266.21 and 5,633.74 is: 7,775.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,612.46 : 13,266.21 = 5,633.74 : x
  2. Step 2: Convert to fraction form
    9,612.46/13,266.21 = 5,633.74/x
  3. Step 3: Cross multiply
    9,612.46x = 13,266.21 × 5,633.74
  4. Step 4: Simplify right side
    9,612.46x = 74,738,377.93
  5. Step 5: Solve for x
    x = 74,738,377.93/9,612.46
  6. Step 6: Final answer
    x = 7,775.16

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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.