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Finding the Fourth Proportional to 6,340.69, 9,516.16 and 4,784.50

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Solution

The fourth proportional to 6,340.69, 9,516.16 and 4,784.50 is: 7,180.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,340.69 : 9,516.16 = 4,784.50 : x
  2. Step 2: Convert to fraction form
    6,340.69/9,516.16 = 4,784.50/x
  3. Step 3: Cross multiply
    6,340.69x = 9,516.16 × 4,784.50
  4. Step 4: Simplify right side
    6,340.69x = 45,530,085.40
  5. Step 5: Solve for x
    x = 45,530,085.40/6,340.69
  6. Step 6: Final answer
    x = 7,180.62

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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.