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Finding the Fourth Proportional to 6,460.32, 9,692.91 and 2,567.46

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Solution

The fourth proportional to 6,460.32, 9,692.91 and 2,567.46 is: 3,852.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,460.32 : 9,692.91 = 2,567.46 : x
  2. Step 2: Convert to fraction form
    6,460.32/9,692.91 = 2,567.46/x
  3. Step 3: Cross multiply
    6,460.32x = 9,692.91 × 2,567.46
  4. Step 4: Simplify right side
    6,460.32x = 24,886,158.71
  5. Step 5: Solve for x
    x = 24,886,158.71/6,460.32
  6. Step 6: Final answer
    x = 3,852.16

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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.