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Finding the Fourth Proportional to 9,637.61, 13,302.12 and 6,274.56

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Solution

The fourth proportional to 9,637.61, 13,302.12 and 6,274.56 is: 8,660.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,637.61 : 13,302.12 = 6,274.56 : x
  2. Step 2: Convert to fraction form
    9,637.61/13,302.12 = 6,274.56/x
  3. Step 3: Cross multiply
    9,637.61x = 13,302.12 × 6,274.56
  4. Step 4: Simplify right side
    9,637.61x = 83,464,950.07
  5. Step 5: Solve for x
    x = 83,464,950.07/9,637.61
  6. Step 6: Final answer
    x = 8,660.34

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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.