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Finding the Fourth Proportional to 6,829.92, 9,421.68 and 4,592.40

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Solution

The fourth proportional to 6,829.92, 9,421.68 and 4,592.40 is: 6,335.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,829.92 : 9,421.68 = 4,592.40 : x
  2. Step 2: Convert to fraction form
    6,829.92/9,421.68 = 4,592.40/x
  3. Step 3: Cross multiply
    6,829.92x = 9,421.68 × 4,592.40
  4. Step 4: Simplify right side
    6,829.92x = 43,268,123.23
  5. Step 5: Solve for x
    x = 43,268,123.23/6,829.92
  6. Step 6: Final answer
    x = 6,335.08

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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.