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Finding the Fourth Proportional to 9,042.10, 12,688.10 and 9,042.10

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Solution

The fourth proportional to 9,042.10, 12,688.10 and 9,042.10 is: 12,688.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,042.10 : 12,688.10 = 9,042.10 : x
  2. Step 2: Convert to fraction form
    9,042.10/12,688.10 = 9,042.10/x
  3. Step 3: Cross multiply
    9,042.10x = 12,688.10 × 9,042.10
  4. Step 4: Simplify right side
    9,042.10x = 114,727,069.01
  5. Step 5: Solve for x
    x = 114,727,069.01/9,042.10
  6. Step 6: Final answer
    x = 12,688.10

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.