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Finding the Fourth Proportional to 9,708.77, 13,382.66 and 7,346.81

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Solution

The fourth proportional to 9,708.77, 13,382.66 and 7,346.81 is: 10,126.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,708.77 : 13,382.66 = 7,346.81 : x
  2. Step 2: Convert to fraction form
    9,708.77/13,382.66 = 7,346.81/x
  3. Step 3: Cross multiply
    9,708.77x = 13,382.66 × 7,346.81
  4. Step 4: Simplify right side
    9,708.77x = 98,319,756.67
  5. Step 5: Solve for x
    x = 98,319,756.67/9,708.77
  6. Step 6: Final answer
    x = 10,126.91

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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.