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Finding the Fourth Proportional to 9,412.32, 14,107.74 and 4,409.46

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Solution

The fourth proportional to 9,412.32, 14,107.74 and 4,409.46 is: 6,609.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,412.32 : 14,107.74 = 4,409.46 : x
  2. Step 2: Convert to fraction form
    9,412.32/14,107.74 = 4,409.46/x
  3. Step 3: Cross multiply
    9,412.32x = 14,107.74 × 4,409.46
  4. Step 4: Simplify right side
    9,412.32x = 62,207,515.22
  5. Step 5: Solve for x
    x = 62,207,515.22/9,412.32
  6. Step 6: Final answer
    x = 6,609.16

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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.