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Finding the Fourth Proportional to 6,392, 9,577.08 and 4,533.92

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Solution

The fourth proportional to 6,392, 9,577.08 and 4,533.92 is: 6,793.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,392 : 9,577.08 = 4,533.92 : x
  2. Step 2: Convert to fraction form
    6,392/9,577.08 = 4,533.92/x
  3. Step 3: Cross multiply
    6,392x = 9,577.08 × 4,533.92
  4. Step 4: Simplify right side
    6,392x = 43,421,714.55
  5. Step 5: Solve for x
    x = 43,421,714.55/6,392
  6. Step 6: Final answer
    x = 6,793.13

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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.