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Finding the Fourth Proportional to 9,618.49, 14,427.58 and 4,935.80

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Solution

The fourth proportional to 9,618.49, 14,427.58 and 4,935.80 is: 7,403.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,618.49 : 14,427.58 = 4,935.80 : x
  2. Step 2: Convert to fraction form
    9,618.49/14,427.58 = 4,935.80/x
  3. Step 3: Cross multiply
    9,618.49x = 14,427.58 × 4,935.80
  4. Step 4: Simplify right side
    9,618.49x = 71,211,552.55
  5. Step 5: Solve for x
    x = 71,211,552.55/9,618.49
  6. Step 6: Final answer
    x = 7,403.61

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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.