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Finding the Fourth Proportional to 6,409.38, 9,607.23 and 2,899.02

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Solution

The fourth proportional to 6,409.38, 9,607.23 and 2,899.02 is: 4,345.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,409.38 : 9,607.23 = 2,899.02 : x
  2. Step 2: Convert to fraction form
    6,409.38/9,607.23 = 2,899.02/x
  3. Step 3: Cross multiply
    6,409.38x = 9,607.23 × 2,899.02
  4. Step 4: Simplify right side
    6,409.38x = 27,851,551.91
  5. Step 5: Solve for x
    x = 27,851,551.91/6,409.38
  6. Step 6: Final answer
    x = 4,345.44

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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.