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Finding the Fourth Proportional to 9,429.71, 13,007.43 and 5,886.77

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Solution

The fourth proportional to 9,429.71, 13,007.43 and 5,886.77 is: 8,120.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,429.71 : 13,007.43 = 5,886.77 : x
  2. Step 2: Convert to fraction form
    9,429.71/13,007.43 = 5,886.77/x
  3. Step 3: Cross multiply
    9,429.71x = 13,007.43 × 5,886.77
  4. Step 4: Simplify right side
    9,429.71x = 76,571,683.66
  5. Step 5: Solve for x
    x = 76,571,683.66/9,429.71
  6. Step 6: Final answer
    x = 8,120.26

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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.