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Finding the Fourth Proportional to 7,055.24, 9,733.57 and 4,069.98

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Solution

The fourth proportional to 7,055.24, 9,733.57 and 4,069.98 is: 5,615.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,055.24 : 9,733.57 = 4,069.98 : x
  2. Step 2: Convert to fraction form
    7,055.24/9,733.57 = 4,069.98/x
  3. Step 3: Cross multiply
    7,055.24x = 9,733.57 × 4,069.98
  4. Step 4: Simplify right side
    7,055.24x = 39,615,425.05
  5. Step 5: Solve for x
    x = 39,615,425.05/7,055.24
  6. Step 6: Final answer
    x = 5,615.04

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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.