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Finding the Fourth Proportional to 9,626.84, 14,439.28 and 6,526.77

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Solution

The fourth proportional to 9,626.84, 14,439.28 and 6,526.77 is: 9,789.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,626.84 : 14,439.28 = 6,526.77 : x
  2. Step 2: Convert to fraction form
    9,626.84/14,439.28 = 6,526.77/x
  3. Step 3: Cross multiply
    9,626.84x = 14,439.28 × 6,526.77
  4. Step 4: Simplify right side
    9,626.84x = 94,241,859.53
  5. Step 5: Solve for x
    x = 94,241,859.53/9,626.84
  6. Step 6: Final answer
    x = 9,789.49

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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.