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Finding the Fourth Proportional to 7,437.72, 10,238.28 and 6,428.96

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Solution

The fourth proportional to 7,437.72, 10,238.28 and 6,428.96 is: 8,849.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,437.72 : 10,238.28 = 6,428.96 : x
  2. Step 2: Convert to fraction form
    7,437.72/10,238.28 = 6,428.96/x
  3. Step 3: Cross multiply
    7,437.72x = 10,238.28 × 6,428.96
  4. Step 4: Simplify right side
    7,437.72x = 65,821,492.59
  5. Step 5: Solve for x
    x = 65,821,492.59/7,437.72
  6. Step 6: Final answer
    x = 8,849.69

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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.