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Finding the Fourth Proportional to 9,536.53, 14,301.29 and 3,294.94

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Solution

The fourth proportional to 9,536.53, 14,301.29 and 3,294.94 is: 4,941.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,536.53 : 14,301.29 = 3,294.94 : x
  2. Step 2: Convert to fraction form
    9,536.53/14,301.29 = 3,294.94/x
  3. Step 3: Cross multiply
    9,536.53x = 14,301.29 × 3,294.94
  4. Step 4: Simplify right side
    9,536.53x = 47,121,892.47
  5. Step 5: Solve for x
    x = 47,121,892.47/9,536.53
  6. Step 6: Final answer
    x = 4,941.20

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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.