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Finding the Fourth Proportional to 9,366.96, 14,041.26 and 7,615.50

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Solution

The fourth proportional to 9,366.96, 14,041.26 and 7,615.50 is: 11,415.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,366.96 : 14,041.26 = 7,615.50 : x
  2. Step 2: Convert to fraction form
    9,366.96/14,041.26 = 7,615.50/x
  3. Step 3: Cross multiply
    9,366.96x = 14,041.26 × 7,615.50
  4. Step 4: Simplify right side
    9,366.96x = 106,931,215.53
  5. Step 5: Solve for x
    x = 106,931,215.53/9,366.96
  6. Step 6: Final answer
    x = 11,415.79

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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.