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Finding the Fourth Proportional to 9,542.95, 14,314.87 and 7,873.98

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Solution

The fourth proportional to 9,542.95, 14,314.87 and 7,873.98 is: 11,811.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,542.95 : 14,314.87 = 7,873.98 : x
  2. Step 2: Convert to fraction form
    9,542.95/14,314.87 = 7,873.98/x
  3. Step 3: Cross multiply
    9,542.95x = 14,314.87 × 7,873.98
  4. Step 4: Simplify right side
    9,542.95x = 112,714,956.24
  5. Step 5: Solve for x
    x = 112,714,956.24/9,542.95
  6. Step 6: Final answer
    x = 11,811.34

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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.