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Finding the Fourth Proportional to 9,692.24, 14,529.72 and 4,421.84

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Solution

The fourth proportional to 9,692.24, 14,529.72 and 4,421.84 is: 6,628.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,692.24 : 14,529.72 = 4,421.84 : x
  2. Step 2: Convert to fraction form
    9,692.24/14,529.72 = 4,421.84/x
  3. Step 3: Cross multiply
    9,692.24x = 14,529.72 × 4,421.84
  4. Step 4: Simplify right side
    9,692.24x = 64,248,097.08
  5. Step 5: Solve for x
    x = 64,248,097.08/9,692.24
  6. Step 6: Final answer
    x = 6,628.82

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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.