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Finding the Fourth Proportional to 9,349.09, 14,019.98 and 3,502.51

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Solution

The fourth proportional to 9,349.09, 14,019.98 and 3,502.51 is: 5,252.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,349.09 : 14,019.98 = 3,502.51 : x
  2. Step 2: Convert to fraction form
    9,349.09/14,019.98 = 3,502.51/x
  3. Step 3: Cross multiply
    9,349.09x = 14,019.98 × 3,502.51
  4. Step 4: Simplify right side
    9,349.09x = 49,105,050.05
  5. Step 5: Solve for x
    x = 49,105,050.05/9,349.09
  6. Step 6: Final answer
    x = 5,252.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.