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Finding the Fourth Proportional to 9,637.88, 13,299.50 and 5,655.80

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Solution

The fourth proportional to 9,637.88, 13,299.50 and 5,655.80 is: 7,804.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,637.88 : 13,299.50 = 5,655.80 : x
  2. Step 2: Convert to fraction form
    9,637.88/13,299.50 = 5,655.80/x
  3. Step 3: Cross multiply
    9,637.88x = 13,299.50 × 5,655.80
  4. Step 4: Simplify right side
    9,637.88x = 75,219,312.10
  5. Step 5: Solve for x
    x = 75,219,312.10/9,637.88
  6. Step 6: Final answer
    x = 7,804.55

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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.