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Finding the Fourth Proportional to 6,875, 9,483.92 and 4,352.84

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Solution

The fourth proportional to 6,875, 9,483.92 and 4,352.84 is: 6,004.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,875 : 9,483.92 = 4,352.84 : x
  2. Step 2: Convert to fraction form
    6,875/9,483.92 = 4,352.84/x
  3. Step 3: Cross multiply
    6,875x = 9,483.92 × 4,352.84
  4. Step 4: Simplify right side
    6,875x = 41,281,986.33
  5. Step 5: Solve for x
    x = 41,281,986.33/6,875
  6. Step 6: Final answer
    x = 6,004.65

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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.