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Finding the Fourth Proportional to 9,415.51, 14,123.27 and 4,217.74

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Solution

The fourth proportional to 9,415.51, 14,123.27 and 4,217.74 is: 6,326.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,415.51 : 14,123.27 = 4,217.74 : x
  2. Step 2: Convert to fraction form
    9,415.51/14,123.27 = 4,217.74/x
  3. Step 3: Cross multiply
    9,415.51x = 14,123.27 × 4,217.74
  4. Step 4: Simplify right side
    9,415.51x = 59,568,280.81
  5. Step 5: Solve for x
    x = 59,568,280.81/9,415.51
  6. Step 6: Final answer
    x = 6,326.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.