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Finding the Fourth Proportional to 6,916.50, 9,544.77 and 4,432.50

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Solution

The fourth proportional to 6,916.50, 9,544.77 and 4,432.50 is: 6,116.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,916.50 : 9,544.77 = 4,432.50 : x
  2. Step 2: Convert to fraction form
    6,916.50/9,544.77 = 4,432.50/x
  3. Step 3: Cross multiply
    6,916.50x = 9,544.77 × 4,432.50
  4. Step 4: Simplify right side
    6,916.50x = 42,307,193.03
  5. Step 5: Solve for x
    x = 42,307,193.03/6,916.50
  6. Step 6: Final answer
    x = 6,116.85

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Why These Related Problems?

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