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Finding the Fourth Proportional to 10,310.74, 15,431.88 and 9,388.42

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Solution

The fourth proportional to 10,310.74, 15,431.88 and 9,388.42 is: 14,051.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,310.74 : 15,431.88 = 9,388.42 : x
  2. Step 2: Convert to fraction form
    10,310.74/15,431.88 = 9,388.42/x
  3. Step 3: Cross multiply
    10,310.74x = 15,431.88 × 9,388.42
  4. Step 4: Simplify right side
    10,310.74x = 144,880,970.83
  5. Step 5: Solve for x
    x = 144,880,970.83/10,310.74
  6. Step 6: Final answer
    x = 14,051.46

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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.