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Finding the Fourth Proportional to 9,185.53, 12,677.02 and 5,206.22

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Solution

The fourth proportional to 9,185.53, 12,677.02 and 5,206.22 is: 7,185.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,185.53 : 12,677.02 = 5,206.22 : x
  2. Step 2: Convert to fraction form
    9,185.53/12,677.02 = 5,206.22/x
  3. Step 3: Cross multiply
    9,185.53x = 12,677.02 × 5,206.22
  4. Step 4: Simplify right side
    9,185.53x = 65,999,291.68
  5. Step 5: Solve for x
    x = 65,999,291.68/9,185.53
  6. Step 6: Final answer
    x = 7,185.14

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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.