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Finding the Fourth Proportional to 9,692.16, 13,374.72 and 5,500.32

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Solution

The fourth proportional to 9,692.16, 13,374.72 and 5,500.32 is: 7,590.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,692.16 : 13,374.72 = 5,500.32 : x
  2. Step 2: Convert to fraction form
    9,692.16/13,374.72 = 5,500.32/x
  3. Step 3: Cross multiply
    9,692.16x = 13,374.72 × 5,500.32
  4. Step 4: Simplify right side
    9,692.16x = 73,565,239.91
  5. Step 5: Solve for x
    x = 73,565,239.91/9,692.16
  6. Step 6: Final answer
    x = 7,590.18

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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.