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Finding the Fourth Proportional to 9,458.10, 14,183.10 and 4,776.30

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Solution

The fourth proportional to 9,458.10, 14,183.10 and 4,776.30 is: 7,162.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,458.10 : 14,183.10 = 4,776.30 : x
  2. Step 2: Convert to fraction form
    9,458.10/14,183.10 = 4,776.30/x
  3. Step 3: Cross multiply
    9,458.10x = 14,183.10 × 4,776.30
  4. Step 4: Simplify right side
    9,458.10x = 67,742,740.53
  5. Step 5: Solve for x
    x = 67,742,740.53/9,458.10
  6. Step 6: Final answer
    x = 7,162.40

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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.