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Finding the Fourth Proportional to 9,435.74, 14,153.64 and 2,861.98

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Solution

The fourth proportional to 9,435.74, 14,153.64 and 2,861.98 is: 4,292.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,435.74 : 14,153.64 = 2,861.98 : x
  2. Step 2: Convert to fraction form
    9,435.74/14,153.64 = 2,861.98/x
  3. Step 3: Cross multiply
    9,435.74x = 14,153.64 × 2,861.98
  4. Step 4: Simplify right side
    9,435.74x = 40,507,434.61
  5. Step 5: Solve for x
    x = 40,507,434.61/9,435.74
  6. Step 6: Final answer
    x = 4,292.98

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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.