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Finding the Fourth Proportional to 9,577.80, 14,366.70 and 4,029.30

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Solution

The fourth proportional to 9,577.80, 14,366.70 and 4,029.30 is: 6,043.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,577.80 : 14,366.70 = 4,029.30 : x
  2. Step 2: Convert to fraction form
    9,577.80/14,366.70 = 4,029.30/x
  3. Step 3: Cross multiply
    9,577.80x = 14,366.70 × 4,029.30
  4. Step 4: Simplify right side
    9,577.80x = 57,887,744.31
  5. Step 5: Solve for x
    x = 57,887,744.31/9,577.80
  6. Step 6: Final answer
    x = 6,043.95

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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.