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Finding the Fourth Proportional to 9,630.29, 14,442.03 and 3,707.64

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Solution

The fourth proportional to 9,630.29, 14,442.03 and 3,707.64 is: 5,560.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,630.29 : 14,442.03 = 3,707.64 : x
  2. Step 2: Convert to fraction form
    9,630.29/14,442.03 = 3,707.64/x
  3. Step 3: Cross multiply
    9,630.29x = 14,442.03 × 3,707.64
  4. Step 4: Simplify right side
    9,630.29x = 53,545,848.11
  5. Step 5: Solve for x
    x = 53,545,848.11/9,630.29
  6. Step 6: Final answer
    x = 5,560.15

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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.