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Finding the Fourth Proportional to 9,143.81, 13,714.32 and 2,903.02

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Solution

The fourth proportional to 9,143.81, 13,714.32 and 2,903.02 is: 4,354.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,143.81 : 13,714.32 = 2,903.02 : x
  2. Step 2: Convert to fraction form
    9,143.81/13,714.32 = 2,903.02/x
  3. Step 3: Cross multiply
    9,143.81x = 13,714.32 × 2,903.02
  4. Step 4: Simplify right side
    9,143.81x = 39,812,945.25
  5. Step 5: Solve for x
    x = 39,812,945.25/9,143.81
  6. Step 6: Final answer
    x = 4,354.09

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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.