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Finding the Fourth Proportional to 10,255.41, 14,210.91 and 9,631.17

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Solution

The fourth proportional to 10,255.41, 14,210.91 and 9,631.17 is: 13,345.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,255.41 : 14,210.91 = 9,631.17 : x
  2. Step 2: Convert to fraction form
    10,255.41/14,210.91 = 9,631.17/x
  3. Step 3: Cross multiply
    10,255.41x = 14,210.91 × 9,631.17
  4. Step 4: Simplify right side
    10,255.41x = 136,867,690.06
  5. Step 5: Solve for x
    x = 136,867,690.06/10,255.41
  6. Step 6: Final answer
    x = 13,345.90

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.