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Finding the Fourth Proportional to 9,907.86, 13,672.83 and 5,431.77

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Solution

The fourth proportional to 9,907.86, 13,672.83 and 5,431.77 is: 7,495.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,907.86 : 13,672.83 = 5,431.77 : x
  2. Step 2: Convert to fraction form
    9,907.86/13,672.83 = 5,431.77/x
  3. Step 3: Cross multiply
    9,907.86x = 13,672.83 × 5,431.77
  4. Step 4: Simplify right side
    9,907.86x = 74,267,667.81
  5. Step 5: Solve for x
    x = 74,267,667.81/9,907.86
  6. Step 6: Final answer
    x = 7,495.83

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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.