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Finding the Fourth Proportional to 6,828.92, 9,421.94 and 4,705.02

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Solution

The fourth proportional to 6,828.92, 9,421.94 and 4,705.02 is: 6,491.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,828.92 : 9,421.94 = 4,705.02 : x
  2. Step 2: Convert to fraction form
    6,828.92/9,421.94 = 4,705.02/x
  3. Step 3: Cross multiply
    6,828.92x = 9,421.94 × 4,705.02
  4. Step 4: Simplify right side
    6,828.92x = 44,330,416.14
  5. Step 5: Solve for x
    x = 44,330,416.14/6,828.92
  6. Step 6: Final answer
    x = 6,491.57

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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.