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Finding the Fourth Proportional to 9,640.80, 14,459.04 and 4,707.36

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Solution

The fourth proportional to 9,640.80, 14,459.04 and 4,707.36 is: 7,059.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,640.80 : 14,459.04 = 4,707.36 : x
  2. Step 2: Convert to fraction form
    9,640.80/14,459.04 = 4,707.36/x
  3. Step 3: Cross multiply
    9,640.80x = 14,459.04 × 4,707.36
  4. Step 4: Simplify right side
    9,640.80x = 68,063,906.53
  5. Step 5: Solve for x
    x = 68,063,906.53/9,640.80
  6. Step 6: Final answer
    x = 7,059.99

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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.