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Finding the Fourth Proportional to 9,509.28, 14,266.08 and 3,666.21

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Solution

The fourth proportional to 9,509.28, 14,266.08 and 3,666.21 is: 5,500.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,509.28 : 14,266.08 = 3,666.21 : x
  2. Step 2: Convert to fraction form
    9,509.28/14,266.08 = 3,666.21/x
  3. Step 3: Cross multiply
    9,509.28x = 14,266.08 × 3,666.21
  4. Step 4: Simplify right side
    9,509.28x = 52,302,445.16
  5. Step 5: Solve for x
    x = 52,302,445.16/9,509.28
  6. Step 6: Final answer
    x = 5,500.15

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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.