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Finding the Fourth Proportional to 9,994.95, 13,784.12 and 6,454.44

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Solution

The fourth proportional to 9,994.95, 13,784.12 and 6,454.44 is: 8,901.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,994.95 : 13,784.12 = 6,454.44 : x
  2. Step 2: Convert to fraction form
    9,994.95/13,784.12 = 6,454.44/x
  3. Step 3: Cross multiply
    9,994.95x = 13,784.12 × 6,454.44
  4. Step 4: Simplify right side
    9,994.95x = 88,968,775.49
  5. Step 5: Solve for x
    x = 88,968,775.49/9,994.95
  6. Step 6: Final answer
    x = 8,901.37

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Similar ratio
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1.5x scale

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.