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Finding the Fourth Proportional to 9,277.77, 13,916.87 and 5,583.09

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Solution

The fourth proportional to 9,277.77, 13,916.87 and 5,583.09 is: 8,374.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,277.77 : 13,916.87 = 5,583.09 : x
  2. Step 2: Convert to fraction form
    9,277.77/13,916.87 = 5,583.09/x
  3. Step 3: Cross multiply
    9,277.77x = 13,916.87 × 5,583.09
  4. Step 4: Simplify right side
    9,277.77x = 77,699,109.81
  5. Step 5: Solve for x
    x = 77,699,109.81/9,277.77
  6. Step 6: Final answer
    x = 8,374.76

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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.