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Finding the Fourth Proportional to 9,409.16, 14,113.74 and 4,211.39

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Solution

The fourth proportional to 9,409.16, 14,113.74 and 4,211.39 is: 6,317.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,409.16 : 14,113.74 = 4,211.39 : x
  2. Step 2: Convert to fraction form
    9,409.16/14,113.74 = 4,211.39/x
  3. Step 3: Cross multiply
    9,409.16x = 14,113.74 × 4,211.39
  4. Step 4: Simplify right side
    9,409.16x = 59,438,514.58
  5. Step 5: Solve for x
    x = 59,438,514.58/9,409.16
  6. Step 6: Final answer
    x = 6,317.09

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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.