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Finding the Fourth Proportional to 7,024.20, 9,692.10 and 4,506.76

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Solution

The fourth proportional to 7,024.20, 9,692.10 and 4,506.76 is: 6,218.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,024.20 : 9,692.10 = 4,506.76 : x
  2. Step 2: Convert to fraction form
    7,024.20/9,692.10 = 4,506.76/x
  3. Step 3: Cross multiply
    7,024.20x = 9,692.10 × 4,506.76
  4. Step 4: Simplify right side
    7,024.20x = 43,679,968.60
  5. Step 5: Solve for x
    x = 43,679,968.60/7,024.20
  6. Step 6: Final answer
    x = 6,218.50

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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.