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Finding the Fourth Proportional to 9,461.94, 14,199.50 and 3,915.31

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Solution

The fourth proportional to 9,461.94, 14,199.50 and 3,915.31 is: 5,875.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,461.94 : 14,199.50 = 3,915.31 : x
  2. Step 2: Convert to fraction form
    9,461.94/14,199.50 = 3,915.31/x
  3. Step 3: Cross multiply
    9,461.94x = 14,199.50 × 3,915.31
  4. Step 4: Simplify right side
    9,461.94x = 55,595,444.35
  5. Step 5: Solve for x
    x = 55,595,444.35/9,461.94
  6. Step 6: Final answer
    x = 5,875.69

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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.