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Finding the Fourth Proportional to 9,185.70, 12,678.57 and 5,209.20

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Solution

The fourth proportional to 9,185.70, 12,678.57 and 5,209.20 is: 7,190.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,185.70 : 12,678.57 = 5,209.20 : x
  2. Step 2: Convert to fraction form
    9,185.70/12,678.57 = 5,209.20/x
  3. Step 3: Cross multiply
    9,185.70x = 12,678.57 × 5,209.20
  4. Step 4: Simplify right side
    9,185.70x = 66,045,206.84
  5. Step 5: Solve for x
    x = 66,045,206.84/9,185.70
  6. Step 6: Final answer
    x = 7,190.00

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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.