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Finding the Fourth Proportional to 9,473.96, 13,078.26 and 5,697.74

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Solution

The fourth proportional to 9,473.96, 13,078.26 and 5,697.74 is: 7,865.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,473.96 : 13,078.26 = 5,697.74 : x
  2. Step 2: Convert to fraction form
    9,473.96/13,078.26 = 5,697.74/x
  3. Step 3: Cross multiply
    9,473.96x = 13,078.26 × 5,697.74
  4. Step 4: Simplify right side
    9,473.96x = 74,516,557.83
  5. Step 5: Solve for x
    x = 74,516,557.83/9,473.96
  6. Step 6: Final answer
    x = 7,865.41

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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.