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Finding the Fourth Proportional to 9,503.15, 14,254.73 and 2,577.65

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Solution

The fourth proportional to 9,503.15, 14,254.73 and 2,577.65 is: 3,866.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,503.15 : 14,254.73 = 2,577.65 : x
  2. Step 2: Convert to fraction form
    9,503.15/14,254.73 = 2,577.65/x
  3. Step 3: Cross multiply
    9,503.15x = 14,254.73 × 2,577.65
  4. Step 4: Simplify right side
    9,503.15x = 36,743,620.62
  5. Step 5: Solve for x
    x = 36,743,620.62/9,503.15
  6. Step 6: Final answer
    x = 3,866.47

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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.