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Finding the Fourth Proportional to 9,630.30, 14,442.75 and 4,700.10

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Solution

The fourth proportional to 9,630.30, 14,442.75 and 4,700.10 is: 7,048.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,630.30 : 14,442.75 = 4,700.10 : x
  2. Step 2: Convert to fraction form
    9,630.30/14,442.75 = 4,700.10/x
  3. Step 3: Cross multiply
    9,630.30x = 14,442.75 × 4,700.10
  4. Step 4: Simplify right side
    9,630.30x = 67,882,369.28
  5. Step 5: Solve for x
    x = 67,882,369.28/9,630.30
  6. Step 6: Final answer
    x = 7,048.83

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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.