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Finding the Fourth Proportional to 9,753.65, 14,630.33 and 2,358.06

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Solution

The fourth proportional to 9,753.65, 14,630.33 and 2,358.06 is: 3,537.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,753.65 : 14,630.33 = 2,358.06 : x
  2. Step 2: Convert to fraction form
    9,753.65/14,630.33 = 2,358.06/x
  3. Step 3: Cross multiply
    9,753.65x = 14,630.33 × 2,358.06
  4. Step 4: Simplify right side
    9,753.65x = 34,499,195.96
  5. Step 5: Solve for x
    x = 34,499,195.96/9,753.65
  6. Step 6: Final answer
    x = 3,537.05

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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.