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Finding the Fourth Proportional to 6,329.88, 9,486.54 and 4,580.76

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Solution

The fourth proportional to 6,329.88, 9,486.54 and 4,580.76 is: 6,865.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,329.88 : 9,486.54 = 4,580.76 : x
  2. Step 2: Convert to fraction form
    6,329.88/9,486.54 = 4,580.76/x
  3. Step 3: Cross multiply
    6,329.88x = 9,486.54 × 4,580.76
  4. Step 4: Simplify right side
    6,329.88x = 43,455,562.97
  5. Step 5: Solve for x
    x = 43,455,562.97/6,329.88
  6. Step 6: Final answer
    x = 6,865.15

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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.