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Finding the Fourth Proportional to 9,378.70, 14,071.70 and 9,237.92

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Solution

The fourth proportional to 9,378.70, 14,071.70 and 9,237.92 is: 13,860.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,378.70 : 14,071.70 = 9,237.92 : x
  2. Step 2: Convert to fraction form
    9,378.70/14,071.70 = 9,237.92/x
  3. Step 3: Cross multiply
    9,378.70x = 14,071.70 × 9,237.92
  4. Step 4: Simplify right side
    9,378.70x = 129,993,157.50
  5. Step 5: Solve for x
    x = 129,993,157.50/9,378.70
  6. Step 6: Final answer
    x = 13,860.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.