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Finding the Fourth Proportional to 9,569.70, 14,358.74 and 3,724.29

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Solution

The fourth proportional to 9,569.70, 14,358.74 and 3,724.29 is: 5,588.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,569.70 : 14,358.74 = 3,724.29 : x
  2. Step 2: Convert to fraction form
    9,569.70/14,358.74 = 3,724.29/x
  3. Step 3: Cross multiply
    9,569.70x = 14,358.74 × 3,724.29
  4. Step 4: Simplify right side
    9,569.70x = 53,476,093.17
  5. Step 5: Solve for x
    x = 53,476,093.17/9,569.70
  6. Step 6: Final answer
    x = 5,588.06

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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.