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Finding the Fourth Proportional to 9,477.59, 14,224.13 and 6,706.94

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Solution

The fourth proportional to 9,477.59, 14,224.13 and 6,706.94 is: 10,065.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,477.59 : 14,224.13 = 6,706.94 : x
  2. Step 2: Convert to fraction form
    9,477.59/14,224.13 = 6,706.94/x
  3. Step 3: Cross multiply
    9,477.59x = 14,224.13 × 6,706.94
  4. Step 4: Simplify right side
    9,477.59x = 95,400,332.11
  5. Step 5: Solve for x
    x = 95,400,332.11/9,477.59
  6. Step 6: Final answer
    x = 10,065.88

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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.