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Finding the Fourth Proportional to 6,774.12, 9,345.54 and 4,119.40

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Solution

The fourth proportional to 6,774.12, 9,345.54 and 4,119.40 is: 5,683.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,774.12 : 9,345.54 = 4,119.40 : x
  2. Step 2: Convert to fraction form
    6,774.12/9,345.54 = 4,119.40/x
  3. Step 3: Cross multiply
    6,774.12x = 9,345.54 × 4,119.40
  4. Step 4: Simplify right side
    6,774.12x = 38,498,017.48
  5. Step 5: Solve for x
    x = 38,498,017.48/6,774.12
  6. Step 6: Final answer
    x = 5,683.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.