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Finding the Fourth Proportional to 9,637.71, 13,289.47 and 6,274.32

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Solution

The fourth proportional to 9,637.71, 13,289.47 and 6,274.32 is: 8,651.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,637.71 : 13,289.47 = 6,274.32 : x
  2. Step 2: Convert to fraction form
    9,637.71/13,289.47 = 6,274.32/x
  3. Step 3: Cross multiply
    9,637.71x = 13,289.47 × 6,274.32
  4. Step 4: Simplify right side
    9,637.71x = 83,382,387.41
  5. Step 5: Solve for x
    x = 83,382,387.41/9,637.71
  6. Step 6: Final answer
    x = 8,651.68

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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.