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Finding the Fourth Proportional to 9,681.74, 13,365.22 and 7,442.83

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Solution

The fourth proportional to 9,681.74, 13,365.22 and 7,442.83 is: 10,274.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,681.74 : 13,365.22 = 7,442.83 : x
  2. Step 2: Convert to fraction form
    9,681.74/13,365.22 = 7,442.83/x
  3. Step 3: Cross multiply
    9,681.74x = 13,365.22 × 7,442.83
  4. Step 4: Simplify right side
    9,681.74x = 99,474,993.55
  5. Step 5: Solve for x
    x = 99,474,993.55/9,681.74
  6. Step 6: Final answer
    x = 10,274.50

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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.