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Finding the Fourth Proportional to 10,669.54, 14,731.77 and 6,894.94

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Solution

The fourth proportional to 10,669.54, 14,731.77 and 6,894.94 is: 9,520.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,669.54 : 14,731.77 = 6,894.94 : x
  2. Step 2: Convert to fraction form
    10,669.54/14,731.77 = 6,894.94/x
  3. Step 3: Cross multiply
    10,669.54x = 14,731.77 × 6,894.94
  4. Step 4: Simplify right side
    10,669.54x = 101,574,670.24
  5. Step 5: Solve for x
    x = 101,574,670.24/10,669.54
  6. Step 6: Final answer
    x = 9,520.06

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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.