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Finding the Fourth Proportional to 9,462.70, 14,200.45 and 5,302.70

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Solution

The fourth proportional to 9,462.70, 14,200.45 and 5,302.70 is: 7,957.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,462.70 : 14,200.45 = 5,302.70 : x
  2. Step 2: Convert to fraction form
    9,462.70/14,200.45 = 5,302.70/x
  3. Step 3: Cross multiply
    9,462.70x = 14,200.45 × 5,302.70
  4. Step 4: Simplify right side
    9,462.70x = 75,300,726.22
  5. Step 5: Solve for x
    x = 75,300,726.22/9,462.70
  6. Step 6: Final answer
    x = 7,957.64

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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.