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Finding the Fourth Proportional to 9,417.40, 14,128.16 and 2,843.08

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Solution

The fourth proportional to 9,417.40, 14,128.16 and 2,843.08 is: 4,265.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,417.40 : 14,128.16 = 2,843.08 : x
  2. Step 2: Convert to fraction form
    9,417.40/14,128.16 = 2,843.08/x
  3. Step 3: Cross multiply
    9,417.40x = 14,128.16 × 2,843.08
  4. Step 4: Simplify right side
    9,417.40x = 40,167,489.13
  5. Step 5: Solve for x
    x = 40,167,489.13/9,417.40
  6. Step 6: Final answer
    x = 4,265.24

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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.