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Finding the Fourth Proportional to 8,433.74, 11,639.62 and 4,897.14

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Solution

The fourth proportional to 8,433.74, 11,639.62 and 4,897.14 is: 6,758.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,433.74 : 11,639.62 = 4,897.14 : x
  2. Step 2: Convert to fraction form
    8,433.74/11,639.62 = 4,897.14/x
  3. Step 3: Cross multiply
    8,433.74x = 11,639.62 × 4,897.14
  4. Step 4: Simplify right side
    8,433.74x = 57,000,848.69
  5. Step 5: Solve for x
    x = 57,000,848.69/8,433.74
  6. Step 6: Final answer
    x = 6,758.67

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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.