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Finding the Fourth Proportional to 9,773.96, 14,666.88 and 4,228.76

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Solution

The fourth proportional to 9,773.96, 14,666.88 and 4,228.76 is: 6,345.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,773.96 : 14,666.88 = 4,228.76 : x
  2. Step 2: Convert to fraction form
    9,773.96/14,666.88 = 4,228.76/x
  3. Step 3: Cross multiply
    9,773.96x = 14,666.88 × 4,228.76
  4. Step 4: Simplify right side
    9,773.96x = 62,022,715.47
  5. Step 5: Solve for x
    x = 62,022,715.47/9,773.96
  6. Step 6: Final answer
    x = 6,345.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.