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Finding the Fourth Proportional to 7,177.85, 9,904.88 and 4,346.80

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Solution

The fourth proportional to 7,177.85, 9,904.88 and 4,346.80 is: 5,998.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,177.85 : 9,904.88 = 4,346.80 : x
  2. Step 2: Convert to fraction form
    7,177.85/9,904.88 = 4,346.80/x
  3. Step 3: Cross multiply
    7,177.85x = 9,904.88 × 4,346.80
  4. Step 4: Simplify right side
    7,177.85x = 43,054,518.49
  5. Step 5: Solve for x
    x = 43,054,518.49/7,177.85
  6. Step 6: Final answer
    x = 5,998.25

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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.