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Finding the Fourth Proportional to 9,740.80, 14,613.90 and 6,460.30

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Solution

The fourth proportional to 9,740.80, 14,613.90 and 6,460.30 is: 9,692.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,740.80 : 14,613.90 = 6,460.30 : x
  2. Step 2: Convert to fraction form
    9,740.80/14,613.90 = 6,460.30/x
  3. Step 3: Cross multiply
    9,740.80x = 14,613.90 × 6,460.30
  4. Step 4: Simplify right side
    9,740.80x = 94,410,178.17
  5. Step 5: Solve for x
    x = 94,410,178.17/9,740.80
  6. Step 6: Final answer
    x = 9,692.24

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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.