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Finding the Fourth Proportional to 9,778.68, 13,493.40 and 5,529.18

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Solution

The fourth proportional to 9,778.68, 13,493.40 and 5,529.18 is: 7,629.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,778.68 : 13,493.40 = 5,529.18 : x
  2. Step 2: Convert to fraction form
    9,778.68/13,493.40 = 5,529.18/x
  3. Step 3: Cross multiply
    9,778.68x = 13,493.40 × 5,529.18
  4. Step 4: Simplify right side
    9,778.68x = 74,607,437.41
  5. Step 5: Solve for x
    x = 74,607,437.41/9,778.68
  6. Step 6: Final answer
    x = 7,629.60

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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.