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Finding the Fourth Proportional to 9,509.10, 14,266.08 and 3,664.14

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Solution

The fourth proportional to 9,509.10, 14,266.08 and 3,664.14 is: 5,497.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,509.10 : 14,266.08 = 3,664.14 : x
  2. Step 2: Convert to fraction form
    9,509.10/14,266.08 = 3,664.14/x
  3. Step 3: Cross multiply
    9,509.10x = 14,266.08 × 3,664.14
  4. Step 4: Simplify right side
    9,509.10x = 52,272,914.37
  5. Step 5: Solve for x
    x = 52,272,914.37/9,509.10
  6. Step 6: Final answer
    x = 5,497.15

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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.