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Finding the Fourth Proportional to 8,717.14, 12,029.30 and 4,738.16

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Solution

The fourth proportional to 8,717.14, 12,029.30 and 4,738.16 is: 6,538.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,717.14 : 12,029.30 = 4,738.16 : x
  2. Step 2: Convert to fraction form
    8,717.14/12,029.30 = 4,738.16/x
  3. Step 3: Cross multiply
    8,717.14x = 12,029.30 × 4,738.16
  4. Step 4: Simplify right side
    8,717.14x = 56,996,748.09
  5. Step 5: Solve for x
    x = 56,996,748.09/8,717.14
  6. Step 6: Final answer
    x = 6,538.47

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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.