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Finding the Fourth Proportional to 6,506.96, 9,756.77 and 4,429.76

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Solution

The fourth proportional to 6,506.96, 9,756.77 and 4,429.76 is: 6,642.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,506.96 : 9,756.77 = 4,429.76 : x
  2. Step 2: Convert to fraction form
    6,506.96/9,756.77 = 4,429.76/x
  3. Step 3: Cross multiply
    6,506.96x = 9,756.77 × 4,429.76
  4. Step 4: Simplify right side
    6,506.96x = 43,220,078.54
  5. Step 5: Solve for x
    x = 43,220,078.54/6,506.96
  6. Step 6: Final answer
    x = 6,642.14

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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.