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Finding the Fourth Proportional to 9,733.14, 14,597.02 and 4,185.30

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Solution

The fourth proportional to 9,733.14, 14,597.02 and 4,185.30 is: 6,276.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,733.14 : 14,597.02 = 4,185.30 : x
  2. Step 2: Convert to fraction form
    9,733.14/14,597.02 = 4,185.30/x
  3. Step 3: Cross multiply
    9,733.14x = 14,597.02 × 4,185.30
  4. Step 4: Simplify right side
    9,733.14x = 61,092,967.78
  5. Step 5: Solve for x
    x = 61,092,967.78/9,733.14
  6. Step 6: Final answer
    x = 6,276.80

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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.