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Finding the Fourth Proportional to 10,095.88, 15,068.21 and 9,431.57

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Solution

The fourth proportional to 10,095.88, 15,068.21 and 9,431.57 is: 14,076.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,095.88 : 15,068.21 = 9,431.57 : x
  2. Step 2: Convert to fraction form
    10,095.88/15,068.21 = 9,431.57/x
  3. Step 3: Cross multiply
    10,095.88x = 15,068.21 × 9,431.57
  4. Step 4: Simplify right side
    10,095.88x = 142,116,958.05
  5. Step 5: Solve for x
    x = 142,116,958.05/10,095.88
  6. Step 6: Final answer
    x = 14,076.73

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.