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Finding the Fourth Proportional to 9,712.94, 14,552.67 and 7,646.18

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Solution

The fourth proportional to 9,712.94, 14,552.67 and 7,646.18 is: 11,456.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,712.94 : 14,552.67 = 7,646.18 : x
  2. Step 2: Convert to fraction form
    9,712.94/14,552.67 = 7,646.18/x
  3. Step 3: Cross multiply
    9,712.94x = 14,552.67 × 7,646.18
  4. Step 4: Simplify right side
    9,712.94x = 111,272,334.30
  5. Step 5: Solve for x
    x = 111,272,334.30/9,712.94
  6. Step 6: Final answer
    x = 11,456.09

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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.