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Finding the Fourth Proportional to 9,253.25, 13,857.64 and 5,292.51

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Solution

The fourth proportional to 9,253.25, 13,857.64 and 5,292.51 is: 7,926.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,253.25 : 13,857.64 = 5,292.51 : x
  2. Step 2: Convert to fraction form
    9,253.25/13,857.64 = 5,292.51/x
  3. Step 3: Cross multiply
    9,253.25x = 13,857.64 × 5,292.51
  4. Step 4: Simplify right side
    9,253.25x = 73,341,633.08
  5. Step 5: Solve for x
    x = 73,341,633.08/9,253.25
  6. Step 6: Final answer
    x = 7,926.04

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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.