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Finding the Fourth Proportional to 6,597.75, 9,109.35 and 4,209.06

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Solution

The fourth proportional to 6,597.75, 9,109.35 and 4,209.06 is: 5,811.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,597.75 : 9,109.35 = 4,209.06 : x
  2. Step 2: Convert to fraction form
    6,597.75/9,109.35 = 4,209.06/x
  3. Step 3: Cross multiply
    6,597.75x = 9,109.35 × 4,209.06
  4. Step 4: Simplify right side
    6,597.75x = 38,341,800.71
  5. Step 5: Solve for x
    x = 38,341,800.71/6,597.75
  6. Step 6: Final answer
    x = 5,811.34

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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.