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Finding the Fourth Proportional to 9,544.16, 14,312.05 and 3,917.97

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Solution

The fourth proportional to 9,544.16, 14,312.05 and 3,917.97 is: 5,875.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,544.16 : 14,312.05 = 3,917.97 : x
  2. Step 2: Convert to fraction form
    9,544.16/14,312.05 = 3,917.97/x
  3. Step 3: Cross multiply
    9,544.16x = 14,312.05 × 3,917.97
  4. Step 4: Simplify right side
    9,544.16x = 56,074,182.54
  5. Step 5: Solve for x
    x = 56,074,182.54/9,544.16
  6. Step 6: Final answer
    x = 5,875.23

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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.