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Finding the Fourth Proportional to 9,242.51, 13,858.69 and 4,552.20

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Solution

The fourth proportional to 9,242.51, 13,858.69 and 4,552.20 is: 6,825.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,242.51 : 13,858.69 = 4,552.20 : x
  2. Step 2: Convert to fraction form
    9,242.51/13,858.69 = 4,552.20/x
  3. Step 3: Cross multiply
    9,242.51x = 13,858.69 × 4,552.20
  4. Step 4: Simplify right side
    9,242.51x = 63,087,517.24
  5. Step 5: Solve for x
    x = 63,087,517.24/9,242.51
  6. Step 6: Final answer
    x = 6,825.80

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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.