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Finding the Fourth Proportional to 9,507.10, 14,263.08 and 3,662.14

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Solution

The fourth proportional to 9,507.10, 14,263.08 and 3,662.14 is: 5,494.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,507.10 : 14,263.08 = 3,662.14 : x
  2. Step 2: Convert to fraction form
    9,507.10/14,263.08 = 3,662.14/x
  3. Step 3: Cross multiply
    9,507.10x = 14,263.08 × 3,662.14
  4. Step 4: Simplify right side
    9,507.10x = 52,233,395.79
  5. Step 5: Solve for x
    x = 52,233,395.79/9,507.10
  6. Step 6: Final answer
    x = 5,494.15

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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.