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Finding the Fourth Proportional to 6,209, 9,314.72 and 2,746.26

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Solution

The fourth proportional to 6,209, 9,314.72 and 2,746.26 is: 4,119.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,209 : 9,314.72 = 2,746.26 : x
  2. Step 2: Convert to fraction form
    6,209/9,314.72 = 2,746.26/x
  3. Step 3: Cross multiply
    6,209x = 9,314.72 × 2,746.26
  4. Step 4: Simplify right side
    6,209x = 25,580,642.95
  5. Step 5: Solve for x
    x = 25,580,642.95/6,209
  6. Step 6: Final answer
    x = 4,119.93

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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.