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Finding the Fourth Proportional to 9,475.70, 14,213.55 and 5,095.22

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Solution

The fourth proportional to 9,475.70, 14,213.55 and 5,095.22 is: 7,642.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,475.70 : 14,213.55 = 5,095.22 : x
  2. Step 2: Convert to fraction form
    9,475.70/14,213.55 = 5,095.22/x
  3. Step 3: Cross multiply
    9,475.70x = 14,213.55 × 5,095.22
  4. Step 4: Simplify right side
    9,475.70x = 72,421,164.23
  5. Step 5: Solve for x
    x = 72,421,164.23/9,475.70
  6. Step 6: Final answer
    x = 7,642.83

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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.