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Finding the Fourth Proportional to 9,704.77, 13,388.43 and 6,341.74

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Solution

The fourth proportional to 9,704.77, 13,388.43 and 6,341.74 is: 8,748.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,704.77 : 13,388.43 = 6,341.74 : x
  2. Step 2: Convert to fraction form
    9,704.77/13,388.43 = 6,341.74/x
  3. Step 3: Cross multiply
    9,704.77x = 13,388.43 × 6,341.74
  4. Step 4: Simplify right side
    9,704.77x = 84,905,972.02
  5. Step 5: Solve for x
    x = 84,905,972.02/9,704.77
  6. Step 6: Final answer
    x = 8,748.89

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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.