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Finding the Fourth Proportional to 6,429.14, 9,649.17 and 4,584.77

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Solution

The fourth proportional to 6,429.14, 9,649.17 and 4,584.77 is: 6,881.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,429.14 : 9,649.17 = 4,584.77 : x
  2. Step 2: Convert to fraction form
    6,429.14/9,649.17 = 4,584.77/x
  3. Step 3: Cross multiply
    6,429.14x = 9,649.17 × 4,584.77
  4. Step 4: Simplify right side
    6,429.14x = 44,239,225.14
  5. Step 5: Solve for x
    x = 44,239,225.14/6,429.14
  6. Step 6: Final answer
    x = 6,881.05

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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.