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Finding the Fourth Proportional to 10,441.32, 14,377.08 and 9,605.40

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Solution

The fourth proportional to 10,441.32, 14,377.08 and 9,605.40 is: 13,226.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,441.32 : 14,377.08 = 9,605.40 : x
  2. Step 2: Convert to fraction form
    10,441.32/14,377.08 = 9,605.40/x
  3. Step 3: Cross multiply
    10,441.32x = 14,377.08 × 9,605.40
  4. Step 4: Simplify right side
    10,441.32x = 138,097,604.23
  5. Step 5: Solve for x
    x = 138,097,604.23/10,441.32
  6. Step 6: Final answer
    x = 13,226.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.