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Finding the Fourth Proportional to 6,069.84, 9,106.35 and 1,909.75

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Solution

The fourth proportional to 6,069.84, 9,106.35 and 1,909.75 is: 2,865.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,069.84 : 9,106.35 = 1,909.75 : x
  2. Step 2: Convert to fraction form
    6,069.84/9,106.35 = 1,909.75/x
  3. Step 3: Cross multiply
    6,069.84x = 9,106.35 × 1,909.75
  4. Step 4: Simplify right side
    6,069.84x = 17,390,870.04
  5. Step 5: Solve for x
    x = 17,390,870.04/6,069.84
  6. Step 6: Final answer
    x = 2,865.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.