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Finding the Fourth Proportional to 9,503.12, 14,254.44 and 2,577.44

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Solution

The fourth proportional to 9,503.12, 14,254.44 and 2,577.44 is: 3,866.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,503.12 : 14,254.44 = 2,577.44 : x
  2. Step 2: Convert to fraction form
    9,503.12/14,254.44 = 2,577.44/x
  3. Step 3: Cross multiply
    9,503.12x = 14,254.44 × 2,577.44
  4. Step 4: Simplify right side
    9,503.12x = 36,739,963.83
  5. Step 5: Solve for x
    x = 36,739,963.83/9,503.12
  6. Step 6: Final answer
    x = 3,866.09

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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.