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Finding the Fourth Proportional to 9,623.95, 14,434.98 and 6,523.87

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Solution

The fourth proportional to 9,623.95, 14,434.98 and 6,523.87 is: 9,785.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,623.95 : 14,434.98 = 6,523.87 : x
  2. Step 2: Convert to fraction form
    9,623.95/14,434.98 = 6,523.87/x
  3. Step 3: Cross multiply
    9,623.95x = 14,434.98 × 6,523.87
  4. Step 4: Simplify right side
    9,623.95x = 94,171,932.97
  5. Step 5: Solve for x
    x = 94,171,932.97/9,623.95
  6. Step 6: Final answer
    x = 9,785.16

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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.