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Finding the Fourth Proportional to 9,612.70, 13,618.93 and 9,612.70

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Solution

The fourth proportional to 9,612.70, 13,618.93 and 9,612.70 is: 13,618.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,612.70 : 13,618.93 = 9,612.70 : x
  2. Step 2: Convert to fraction form
    9,612.70/13,618.93 = 9,612.70/x
  3. Step 3: Cross multiply
    9,612.70x = 13,618.93 × 9,612.70
  4. Step 4: Simplify right side
    9,612.70x = 130,914,688.41
  5. Step 5: Solve for x
    x = 130,914,688.41/9,612.70
  6. Step 6: Final answer
    x = 13,618.93

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.