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Finding the Fourth Proportional to 9,943.57, 13,707.66 and 6,950.10

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Solution

The fourth proportional to 9,943.57, 13,707.66 and 6,950.10 is: 9,581.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,943.57 : 13,707.66 = 6,950.10 : x
  2. Step 2: Convert to fraction form
    9,943.57/13,707.66 = 6,950.10/x
  3. Step 3: Cross multiply
    9,943.57x = 13,707.66 × 6,950.10
  4. Step 4: Simplify right side
    9,943.57x = 95,269,607.77
  5. Step 5: Solve for x
    x = 95,269,607.77/9,943.57
  6. Step 6: Final answer
    x = 9,581.03

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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.