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Finding the Fourth Proportional to 6,829.79, 9,423.42 and 4,176.23

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Solution

The fourth proportional to 6,829.79, 9,423.42 and 4,176.23 is: 5,762.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,829.79 : 9,423.42 = 4,176.23 : x
  2. Step 2: Convert to fraction form
    6,829.79/9,423.42 = 4,176.23/x
  3. Step 3: Cross multiply
    6,829.79x = 9,423.42 × 4,176.23
  4. Step 4: Simplify right side
    6,829.79x = 39,354,322.19
  5. Step 5: Solve for x
    x = 39,354,322.19/6,829.79
  6. Step 6: Final answer
    x = 5,762.16

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