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Finding the Fourth Proportional to 9,291.58, 12,823.04 and 5,313.94

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Solution

The fourth proportional to 9,291.58, 12,823.04 and 5,313.94 is: 7,333.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,291.58 : 12,823.04 = 5,313.94 : x
  2. Step 2: Convert to fraction form
    9,291.58/12,823.04 = 5,313.94/x
  3. Step 3: Cross multiply
    9,291.58x = 12,823.04 × 5,313.94
  4. Step 4: Simplify right side
    9,291.58x = 68,140,846.40
  5. Step 5: Solve for x
    x = 68,140,846.40/9,291.58
  6. Step 6: Final answer
    x = 7,333.61

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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.