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Finding the Fourth Proportional to 9,588.69, 14,386.49 and 3,349.62

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Solution

The fourth proportional to 9,588.69, 14,386.49 and 3,349.62 is: 5,025.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,588.69 : 14,386.49 = 3,349.62 : x
  2. Step 2: Convert to fraction form
    9,588.69/14,386.49 = 3,349.62/x
  3. Step 3: Cross multiply
    9,588.69x = 14,386.49 × 3,349.62
  4. Step 4: Simplify right side
    9,588.69x = 48,189,257.89
  5. Step 5: Solve for x
    x = 48,189,257.89/9,588.69
  6. Step 6: Final answer
    x = 5,025.64

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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.