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Finding the Fourth Proportional to 9,753.30, 14,630.40 and 4,760.28

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Solution

The fourth proportional to 9,753.30, 14,630.40 and 4,760.28 is: 7,140.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,753.30 : 14,630.40 = 4,760.28 : x
  2. Step 2: Convert to fraction form
    9,753.30/14,630.40 = 4,760.28/x
  3. Step 3: Cross multiply
    9,753.30x = 14,630.40 × 4,760.28
  4. Step 4: Simplify right side
    9,753.30x = 69,644,800.51
  5. Step 5: Solve for x
    x = 69,644,800.51/9,753.30
  6. Step 6: Final answer
    x = 7,140.64

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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.