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Finding the Fourth Proportional to 9,648.80, 14,478.74 and 5,206.45

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Solution

The fourth proportional to 9,648.80, 14,478.74 and 5,206.45 is: 7,812.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,648.80 : 14,478.74 = 5,206.45 : x
  2. Step 2: Convert to fraction form
    9,648.80/14,478.74 = 5,206.45/x
  3. Step 3: Cross multiply
    9,648.80x = 14,478.74 × 5,206.45
  4. Step 4: Simplify right side
    9,648.80x = 75,382,835.87
  5. Step 5: Solve for x
    x = 75,382,835.87/9,648.80
  6. Step 6: Final answer
    x = 7,812.66

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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.