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Finding the Fourth Proportional to 9,454.32, 13,033.44 and 6,931.98

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Solution

The fourth proportional to 9,454.32, 13,033.44 and 6,931.98 is: 9,556.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,454.32 : 13,033.44 = 6,931.98 : x
  2. Step 2: Convert to fraction form
    9,454.32/13,033.44 = 6,931.98/x
  3. Step 3: Cross multiply
    9,454.32x = 13,033.44 × 6,931.98
  4. Step 4: Simplify right side
    9,454.32x = 90,347,545.41
  5. Step 5: Solve for x
    x = 90,347,545.41/9,454.32
  6. Step 6: Final answer
    x = 9,556.22

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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.