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Finding the Fourth Proportional to 6,429.69, 8,867.07 and 4,190.76

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Solution

The fourth proportional to 6,429.69, 8,867.07 and 4,190.76 is: 5,779.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,429.69 : 8,867.07 = 4,190.76 : x
  2. Step 2: Convert to fraction form
    6,429.69/8,867.07 = 4,190.76/x
  3. Step 3: Cross multiply
    6,429.69x = 8,867.07 × 4,190.76
  4. Step 4: Simplify right side
    6,429.69x = 37,159,762.27
  5. Step 5: Solve for x
    x = 37,159,762.27/6,429.69
  6. Step 6: Final answer
    x = 5,779.40

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