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Finding the Fourth Proportional to 9,560.98, 14,322.80 and 6,264.06

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Solution

The fourth proportional to 9,560.98, 14,322.80 and 6,264.06 is: 9,383.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,560.98 : 14,322.80 = 6,264.06 : x
  2. Step 2: Convert to fraction form
    9,560.98/14,322.80 = 6,264.06/x
  3. Step 3: Cross multiply
    9,560.98x = 14,322.80 × 6,264.06
  4. Step 4: Simplify right side
    9,560.98x = 89,718,878.57
  5. Step 5: Solve for x
    x = 89,718,878.57/9,560.98
  6. Step 6: Final answer
    x = 9,383.86

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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.