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Finding the Fourth Proportional to 9,814.52, 14,700.22 and 9,046.32

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Solution

The fourth proportional to 9,814.52, 14,700.22 and 9,046.32 is: 13,549.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,814.52 : 14,700.22 = 9,046.32 : x
  2. Step 2: Convert to fraction form
    9,814.52/14,700.22 = 9,046.32/x
  3. Step 3: Cross multiply
    9,814.52x = 14,700.22 × 9,046.32
  4. Step 4: Simplify right side
    9,814.52x = 132,982,894.19
  5. Step 5: Solve for x
    x = 132,982,894.19/9,814.52
  6. Step 6: Final answer
    x = 13,549.61

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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.