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Finding the Fourth Proportional to 7,100.55, 9,795.47 and 4,228.02

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Solution

The fourth proportional to 7,100.55, 9,795.47 and 4,228.02 is: 5,832.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,100.55 : 9,795.47 = 4,228.02 : x
  2. Step 2: Convert to fraction form
    7,100.55/9,795.47 = 4,228.02/x
  3. Step 3: Cross multiply
    7,100.55x = 9,795.47 × 4,228.02
  4. Step 4: Simplify right side
    7,100.55x = 41,415,421.93
  5. Step 5: Solve for x
    x = 41,415,421.93/7,100.55
  6. Step 6: Final answer
    x = 5,832.71

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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.