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Finding the Fourth Proportional to 9,813.69, 14,719.29 and 3,238.26

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Solution

The fourth proportional to 9,813.69, 14,719.29 and 3,238.26 is: 4,856.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,813.69 : 14,719.29 = 3,238.26 : x
  2. Step 2: Convert to fraction form
    9,813.69/14,719.29 = 3,238.26/x
  3. Step 3: Cross multiply
    9,813.69x = 14,719.29 × 3,238.26
  4. Step 4: Simplify right side
    9,813.69x = 47,664,888.04
  5. Step 5: Solve for x
    x = 47,664,888.04/9,813.69
  6. Step 6: Final answer
    x = 4,856.98

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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.