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Finding the Fourth Proportional to 6,784.93, 9,345.68 and 4,792.03

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Solution

The fourth proportional to 6,784.93, 9,345.68 and 4,792.03 is: 6,600.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,784.93 : 9,345.68 = 4,792.03 : x
  2. Step 2: Convert to fraction form
    6,784.93/9,345.68 = 4,792.03/x
  3. Step 3: Cross multiply
    6,784.93x = 9,345.68 × 4,792.03
  4. Step 4: Simplify right side
    6,784.93x = 44,784,749.58
  5. Step 5: Solve for x
    x = 44,784,749.58/6,784.93
  6. Step 6: Final answer
    x = 6,600.62

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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.