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Finding the Fourth Proportional to 9,937.72, 13,714.01 and 5,688.76

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Solution

The fourth proportional to 9,937.72, 13,714.01 and 5,688.76 is: 7,850.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,937.72 : 13,714.01 = 5,688.76 : x
  2. Step 2: Convert to fraction form
    9,937.72/13,714.01 = 5,688.76/x
  3. Step 3: Cross multiply
    9,937.72x = 13,714.01 × 5,688.76
  4. Step 4: Simplify right side
    9,937.72x = 78,015,731.59
  5. Step 5: Solve for x
    x = 78,015,731.59/9,937.72
  6. Step 6: Final answer
    x = 7,850.47

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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.