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Finding the Fourth Proportional to 9,637.52, 13,295.76 and 6,494.72

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Solution

The fourth proportional to 9,637.52, 13,295.76 and 6,494.72 is: 8,960.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,637.52 : 13,295.76 = 6,494.72 : x
  2. Step 2: Convert to fraction form
    9,637.52/13,295.76 = 6,494.72/x
  3. Step 3: Cross multiply
    9,637.52x = 13,295.76 × 6,494.72
  4. Step 4: Simplify right side
    9,637.52x = 86,352,238.39
  5. Step 5: Solve for x
    x = 86,352,238.39/9,637.52
  6. Step 6: Final answer
    x = 8,960.01

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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.