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Finding the Fourth Proportional to 9,577.34, 14,366.04 and 6,282.26

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Solution

The fourth proportional to 9,577.34, 14,366.04 and 6,282.26 is: 9,423.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,577.34 : 14,366.04 = 6,282.26 : x
  2. Step 2: Convert to fraction form
    9,577.34/14,366.04 = 6,282.26/x
  3. Step 3: Cross multiply
    9,577.34x = 14,366.04 × 6,282.26
  4. Step 4: Simplify right side
    9,577.34x = 90,251,198.45
  5. Step 5: Solve for x
    x = 90,251,198.45/9,577.34
  6. Step 6: Final answer
    x = 9,423.41

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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.