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Finding the Fourth Proportional to 9,812.42, 14,714.01 and 3,568.02

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Solution

The fourth proportional to 9,812.42, 14,714.01 and 3,568.02 is: 5,350.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,812.42 : 14,714.01 = 3,568.02 : x
  2. Step 2: Convert to fraction form
    9,812.42/14,714.01 = 3,568.02/x
  3. Step 3: Cross multiply
    9,812.42x = 14,714.01 × 3,568.02
  4. Step 4: Simplify right side
    9,812.42x = 52,499,881.96
  5. Step 5: Solve for x
    x = 52,499,881.96/9,812.42
  6. Step 6: Final answer
    x = 5,350.35

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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.