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Finding the Fourth Proportional to 9,157.84, 13,718.03 and 7,672.77

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Solution

The fourth proportional to 9,157.84, 13,718.03 and 7,672.77 is: 11,493.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,157.84 : 13,718.03 = 7,672.77 : x
  2. Step 2: Convert to fraction form
    9,157.84/13,718.03 = 7,672.77/x
  3. Step 3: Cross multiply
    9,157.84x = 13,718.03 × 7,672.77
  4. Step 4: Simplify right side
    9,157.84x = 105,255,250.68
  5. Step 5: Solve for x
    x = 105,255,250.68/9,157.84
  6. Step 6: Final answer
    x = 11,493.46

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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.