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Finding the Fourth Proportional to 6,296.58, 9,444.87 and 5,953.95

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Solution

The fourth proportional to 6,296.58, 9,444.87 and 5,953.95 is: 8,930.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,296.58 : 9,444.87 = 5,953.95 : x
  2. Step 2: Convert to fraction form
    6,296.58/9,444.87 = 5,953.95/x
  3. Step 3: Cross multiply
    6,296.58x = 9,444.87 × 5,953.95
  4. Step 4: Simplify right side
    6,296.58x = 56,234,283.74
  5. Step 5: Solve for x
    x = 56,234,283.74/6,296.58
  6. Step 6: Final answer
    x = 8,930.93

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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.