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Finding the Fourth Proportional to 9,523.98, 14,287.86 and 4,597.02

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Solution

The fourth proportional to 9,523.98, 14,287.86 and 4,597.02 is: 6,896.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,523.98 : 14,287.86 = 4,597.02 : x
  2. Step 2: Convert to fraction form
    9,523.98/14,287.86 = 4,597.02/x
  3. Step 3: Cross multiply
    9,523.98x = 14,287.86 × 4,597.02
  4. Step 4: Simplify right side
    9,523.98x = 65,681,578.18
  5. Step 5: Solve for x
    x = 65,681,578.18/9,523.98
  6. Step 6: Final answer
    x = 6,896.44

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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.