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Finding the Fourth Proportional to 9,956.32, 13,737.52 and 5,762.14

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Solution

The fourth proportional to 9,956.32, 13,737.52 and 5,762.14 is: 7,950.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,956.32 : 13,737.52 = 5,762.14 : x
  2. Step 2: Convert to fraction form
    9,956.32/13,737.52 = 5,762.14/x
  3. Step 3: Cross multiply
    9,956.32x = 13,737.52 × 5,762.14
  4. Step 4: Simplify right side
    9,956.32x = 79,157,499.09
  5. Step 5: Solve for x
    x = 79,157,499.09/9,956.32
  6. Step 6: Final answer
    x = 7,950.48

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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.