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Finding the Fourth Proportional to 9,478.81, 14,221.36 and 2,905.06

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Solution

The fourth proportional to 9,478.81, 14,221.36 and 2,905.06 is: 4,358.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,478.81 : 14,221.36 = 2,905.06 : x
  2. Step 2: Convert to fraction form
    9,478.81/14,221.36 = 2,905.06/x
  3. Step 3: Cross multiply
    9,478.81x = 14,221.36 × 2,905.06
  4. Step 4: Simplify right side
    9,478.81x = 41,313,904.08
  5. Step 5: Solve for x
    x = 41,313,904.08/9,478.81
  6. Step 6: Final answer
    x = 4,358.55

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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.