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Finding the Fourth Proportional to 7,638.48, 11,417.28 and 6,643.44

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Solution

The fourth proportional to 7,638.48, 11,417.28 and 6,643.44 is: 9,929.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,638.48 : 11,417.28 = 6,643.44 : x
  2. Step 2: Convert to fraction form
    7,638.48/11,417.28 = 6,643.44/x
  3. Step 3: Cross multiply
    7,638.48x = 11,417.28 × 6,643.44
  4. Step 4: Simplify right side
    7,638.48x = 75,850,014.64
  5. Step 5: Solve for x
    x = 75,850,014.64/7,638.48
  6. Step 6: Final answer
    x = 9,929.99

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.