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Finding the Fourth Proportional to 9,541.17, 14,317.97 and 7,206.57

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Solution

The fourth proportional to 9,541.17, 14,317.97 and 7,206.57 is: 10,814.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,541.17 : 14,317.97 = 7,206.57 : x
  2. Step 2: Convert to fraction form
    9,541.17/14,317.97 = 7,206.57/x
  3. Step 3: Cross multiply
    9,541.17x = 14,317.97 × 7,206.57
  4. Step 4: Simplify right side
    9,541.17x = 103,183,417.03
  5. Step 5: Solve for x
    x = 103,183,417.03/9,541.17
  6. Step 6: Final answer
    x = 10,814.55

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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.