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Finding the Fourth Proportional to 9,927.72, 13,707 and 7,581.96

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Solution

The fourth proportional to 9,927.72, 13,707 and 7,581.96 is: 10,468.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,927.72 : 13,707 = 7,581.96 : x
  2. Step 2: Convert to fraction form
    9,927.72/13,707 = 7,581.96/x
  3. Step 3: Cross multiply
    9,927.72x = 13,707 × 7,581.96
  4. Step 4: Simplify right side
    9,927.72x = 103,925,925.72
  5. Step 5: Solve for x
    x = 103,925,925.72/9,927.72
  6. Step 6: Final answer
    x = 10,468.26

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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.