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Finding the Fourth Proportional to 9,417.40, 14,126.64 and 2,844.25

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Solution

The fourth proportional to 9,417.40, 14,126.64 and 2,844.25 is: 4,266.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,417.40 : 14,126.64 = 2,844.25 : x
  2. Step 2: Convert to fraction form
    9,417.40/14,126.64 = 2,844.25/x
  3. Step 3: Cross multiply
    9,417.40x = 14,126.64 × 2,844.25
  4. Step 4: Simplify right side
    9,417.40x = 40,179,695.82
  5. Step 5: Solve for x
    x = 40,179,695.82/9,417.40
  6. Step 6: Final answer
    x = 4,266.54

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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.