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Finding the Fourth Proportional to 9,623, 13,282.44 and 6,442.40

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Solution

The fourth proportional to 9,623, 13,282.44 and 6,442.40 is: 8,892.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,623 : 13,282.44 = 6,442.40 : x
  2. Step 2: Convert to fraction form
    9,623/13,282.44 = 6,442.40/x
  3. Step 3: Cross multiply
    9,623x = 13,282.44 × 6,442.40
  4. Step 4: Simplify right side
    9,623x = 85,570,791.46
  5. Step 5: Solve for x
    x = 85,570,791.46/9,623
  6. Step 6: Final answer
    x = 8,892.32

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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.