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Finding the Fourth Proportional to 9,664.70, 14,497.05 and 3,091.10

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Solution

The fourth proportional to 9,664.70, 14,497.05 and 3,091.10 is: 4,636.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,664.70 : 14,497.05 = 3,091.10 : x
  2. Step 2: Convert to fraction form
    9,664.70/14,497.05 = 3,091.10/x
  3. Step 3: Cross multiply
    9,664.70x = 14,497.05 × 3,091.10
  4. Step 4: Simplify right side
    9,664.70x = 44,811,831.26
  5. Step 5: Solve for x
    x = 44,811,831.26/9,664.70
  6. Step 6: Final answer
    x = 4,636.65

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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.