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Finding the Fourth Proportional to 9,532.77, 13,154.89 and 5,284.23

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Solution

The fourth proportional to 9,532.77, 13,154.89 and 5,284.23 is: 7,292.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,532.77 : 13,154.89 = 5,284.23 : x
  2. Step 2: Convert to fraction form
    9,532.77/13,154.89 = 5,284.23/x
  3. Step 3: Cross multiply
    9,532.77x = 13,154.89 × 5,284.23
  4. Step 4: Simplify right side
    9,532.77x = 69,513,372.19
  5. Step 5: Solve for x
    x = 69,513,372.19/9,532.77
  6. Step 6: Final answer
    x = 7,292.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.