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Finding the Fourth Proportional to 9,968.55, 14,943.23 and 7,746.15

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Solution

The fourth proportional to 9,968.55, 14,943.23 and 7,746.15 is: 11,611.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,968.55 : 14,943.23 = 7,746.15 : x
  2. Step 2: Convert to fraction form
    9,968.55/14,943.23 = 7,746.15/x
  3. Step 3: Cross multiply
    9,968.55x = 14,943.23 × 7,746.15
  4. Step 4: Simplify right side
    9,968.55x = 115,752,462.33
  5. Step 5: Solve for x
    x = 115,752,462.33/9,968.55
  6. Step 6: Final answer
    x = 11,611.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.