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Finding the Fourth Proportional to 9,192, 12,685.76 and 5,834.40

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Solution

The fourth proportional to 9,192, 12,685.76 and 5,834.40 is: 8,051.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,192 : 12,685.76 = 5,834.40 : x
  2. Step 2: Convert to fraction form
    9,192/12,685.76 = 5,834.40/x
  3. Step 3: Cross multiply
    9,192x = 12,685.76 × 5,834.40
  4. Step 4: Simplify right side
    9,192x = 74,013,798.14
  5. Step 5: Solve for x
    x = 74,013,798.14/9,192
  6. Step 6: Final answer
    x = 8,051.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.