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Finding the Fourth Proportional to 9,623.94, 14,434.98 and 6,523.88

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Solution

The fourth proportional to 9,623.94, 14,434.98 and 6,523.88 is: 9,785.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,623.94 : 14,434.98 = 6,523.88 : x
  2. Step 2: Convert to fraction form
    9,623.94/14,434.98 = 6,523.88/x
  3. Step 3: Cross multiply
    9,623.94x = 14,434.98 × 6,523.88
  4. Step 4: Simplify right side
    9,623.94x = 94,172,005.15
  5. Step 5: Solve for x
    x = 94,172,005.15/9,623.94
  6. Step 6: Final answer
    x = 9,785.18

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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.