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Finding the Fourth Proportional to 6,582.33, 9,875.79 and 3,294.68

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Solution

The fourth proportional to 6,582.33, 9,875.79 and 3,294.68 is: 4,943.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,582.33 : 9,875.79 = 3,294.68 : x
  2. Step 2: Convert to fraction form
    6,582.33/9,875.79 = 3,294.68/x
  3. Step 3: Cross multiply
    6,582.33x = 9,875.79 × 3,294.68
  4. Step 4: Simplify right side
    6,582.33x = 32,537,518.42
  5. Step 5: Solve for x
    x = 32,537,518.42/6,582.33
  6. Step 6: Final answer
    x = 4,943.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.