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Finding the Fourth Proportional to 9,478.62, 14,215.50 and 5,030.24

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Solution

The fourth proportional to 9,478.62, 14,215.50 and 5,030.24 is: 7,544.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,478.62 : 14,215.50 = 5,030.24 : x
  2. Step 2: Convert to fraction form
    9,478.62/14,215.50 = 5,030.24/x
  3. Step 3: Cross multiply
    9,478.62x = 14,215.50 × 5,030.24
  4. Step 4: Simplify right side
    9,478.62x = 71,507,305.64
  5. Step 5: Solve for x
    x = 71,507,305.64/9,478.62
  6. Step 6: Final answer
    x = 7,544.06

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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.