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Finding the Fourth Proportional to 7,225.04, 9,969.97 and 4,238.48

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Solution

The fourth proportional to 7,225.04, 9,969.97 and 4,238.48 is: 5,848.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,225.04 : 9,969.97 = 4,238.48 : x
  2. Step 2: Convert to fraction form
    7,225.04/9,969.97 = 4,238.48/x
  3. Step 3: Cross multiply
    7,225.04x = 9,969.97 × 4,238.48
  4. Step 4: Simplify right side
    7,225.04x = 42,257,458.00
  5. Step 5: Solve for x
    x = 42,257,458.00/7,225.04
  6. Step 6: Final answer
    x = 5,848.75

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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.