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Finding the Fourth Proportional to 9,799.77, 14,681.13 and 7,597.71

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Solution

The fourth proportional to 9,799.77, 14,681.13 and 7,597.71 is: 11,382.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,799.77 : 14,681.13 = 7,597.71 : x
  2. Step 2: Convert to fraction form
    9,799.77/14,681.13 = 7,597.71/x
  3. Step 3: Cross multiply
    9,799.77x = 14,681.13 × 7,597.71
  4. Step 4: Simplify right side
    9,799.77x = 111,542,968.21
  5. Step 5: Solve for x
    x = 111,542,968.21/9,799.77
  6. Step 6: Final answer
    x = 11,382.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.