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Finding the Fourth Proportional to 9,478.71, 13,077 and 5,935.77

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Solution

The fourth proportional to 9,478.71, 13,077 and 5,935.77 is: 8,189.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,478.71 : 13,077 = 5,935.77 : x
  2. Step 2: Convert to fraction form
    9,478.71/13,077 = 5,935.77/x
  3. Step 3: Cross multiply
    9,478.71x = 13,077 × 5,935.77
  4. Step 4: Simplify right side
    9,478.71x = 77,622,064.29
  5. Step 5: Solve for x
    x = 77,622,064.29/9,478.71
  6. Step 6: Final answer
    x = 8,189.10

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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.