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Finding the Fourth Proportional to 9,501.09, 14,252.22 and 3,657.71

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Solution

The fourth proportional to 9,501.09, 14,252.22 and 3,657.71 is: 5,486.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,501.09 : 14,252.22 = 3,657.71 : x
  2. Step 2: Convert to fraction form
    9,501.09/14,252.22 = 3,657.71/x
  3. Step 3: Cross multiply
    9,501.09x = 14,252.22 × 3,657.71
  4. Step 4: Simplify right side
    9,501.09x = 52,130,416.36
  5. Step 5: Solve for x
    x = 52,130,416.36/9,501.09
  6. Step 6: Final answer
    x = 5,486.78

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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.