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Finding the Fourth Proportional to 9,706.66, 14,532.63 and 9,395.62

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Solution

The fourth proportional to 9,706.66, 14,532.63 and 9,395.62 is: 14,066.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,706.66 : 14,532.63 = 9,395.62 : x
  2. Step 2: Convert to fraction form
    9,706.66/14,532.63 = 9,395.62/x
  3. Step 3: Cross multiply
    9,706.66x = 14,532.63 × 9,395.62
  4. Step 4: Simplify right side
    9,706.66x = 136,543,069.08
  5. Step 5: Solve for x
    x = 136,543,069.08/9,706.66
  6. Step 6: Final answer
    x = 14,066.95

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.