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Finding the Fourth Proportional to 9,715.46, 13,407.40 and 5,738.54

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Solution

The fourth proportional to 9,715.46, 13,407.40 and 5,738.54 is: 7,919.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,715.46 : 13,407.40 = 5,738.54 : x
  2. Step 2: Convert to fraction form
    9,715.46/13,407.40 = 5,738.54/x
  3. Step 3: Cross multiply
    9,715.46x = 13,407.40 × 5,738.54
  4. Step 4: Simplify right side
    9,715.46x = 76,938,819.81
  5. Step 5: Solve for x
    x = 76,938,819.81/9,715.46
  6. Step 6: Final answer
    x = 7,919.22

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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.