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Finding the Fourth Proportional to 9,706.16, 14,531.88 and 9,395.12

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Solution

The fourth proportional to 9,706.16, 14,531.88 and 9,395.12 is: 14,066.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,706.16 : 14,531.88 = 9,395.12 : x
  2. Step 2: Convert to fraction form
    9,706.16/14,531.88 = 9,395.12/x
  3. Step 3: Cross multiply
    9,706.16x = 14,531.88 × 9,395.12
  4. Step 4: Simplify right side
    9,706.16x = 136,528,756.43
  5. Step 5: Solve for x
    x = 136,528,756.43/9,706.16
  6. Step 6: Final answer
    x = 14,066.20

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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.