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Finding the Fourth Proportional to 9,670.89, 13,347.72 and 5,695.41

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Solution

The fourth proportional to 9,670.89, 13,347.72 and 5,695.41 is: 7,860.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,670.89 : 13,347.72 = 5,695.41 : x
  2. Step 2: Convert to fraction form
    9,670.89/13,347.72 = 5,695.41/x
  3. Step 3: Cross multiply
    9,670.89x = 13,347.72 × 5,695.41
  4. Step 4: Simplify right side
    9,670.89x = 76,020,737.97
  5. Step 5: Solve for x
    x = 76,020,737.97/9,670.89
  6. Step 6: Final answer
    x = 7,860.78

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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.