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Finding the Fourth Proportional to 9,690.77, 13,374.28 and 5,442.22

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Solution

The fourth proportional to 9,690.77, 13,374.28 and 5,442.22 is: 7,510.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,690.77 : 13,374.28 = 5,442.22 : x
  2. Step 2: Convert to fraction form
    9,690.77/13,374.28 = 5,442.22/x
  3. Step 3: Cross multiply
    9,690.77x = 13,374.28 × 5,442.22
  4. Step 4: Simplify right side
    9,690.77x = 72,785,797.62
  5. Step 5: Solve for x
    x = 72,785,797.62/9,690.77
  6. Step 6: Final answer
    x = 7,510.84

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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.