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Finding the Fourth Proportional to 9,577.86, 13,219.11 and 6,043.02

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Solution

The fourth proportional to 9,577.86, 13,219.11 and 6,043.02 is: 8,340.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,577.86 : 13,219.11 = 6,043.02 : x
  2. Step 2: Convert to fraction form
    9,577.86/13,219.11 = 6,043.02/x
  3. Step 3: Cross multiply
    9,577.86x = 13,219.11 × 6,043.02
  4. Step 4: Simplify right side
    9,577.86x = 79,883,346.11
  5. Step 5: Solve for x
    x = 79,883,346.11/9,577.86
  6. Step 6: Final answer
    x = 8,340.42

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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.