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Finding the Fourth Proportional to 9,509.34, 14,266.26 and 2,935.62

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Solution

The fourth proportional to 9,509.34, 14,266.26 and 2,935.62 is: 4,404.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,509.34 : 14,266.26 = 2,935.62 : x
  2. Step 2: Convert to fraction form
    9,509.34/14,266.26 = 2,935.62/x
  3. Step 3: Cross multiply
    9,509.34x = 14,266.26 × 2,935.62
  4. Step 4: Simplify right side
    9,509.34x = 41,880,318.18
  5. Step 5: Solve for x
    x = 41,880,318.18/9,509.34
  6. Step 6: Final answer
    x = 4,404.12

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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.