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Finding the Fourth Proportional to 9,618.84, 13,273.98 and 5,427.12

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Solution

The fourth proportional to 9,618.84, 13,273.98 and 5,427.12 is: 7,489.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,618.84 : 13,273.98 = 5,427.12 : x
  2. Step 2: Convert to fraction form
    9,618.84/13,273.98 = 5,427.12/x
  3. Step 3: Cross multiply
    9,618.84x = 13,273.98 × 5,427.12
  4. Step 4: Simplify right side
    9,618.84x = 72,039,482.34
  5. Step 5: Solve for x
    x = 72,039,482.34/9,618.84
  6. Step 6: Final answer
    x = 7,489.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.