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Finding the Fourth Proportional to 9,684.57, 14,521.19 and 6,928.95

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Solution

The fourth proportional to 9,684.57, 14,521.19 and 6,928.95 is: 10,389.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,684.57 : 14,521.19 = 6,928.95 : x
  2. Step 2: Convert to fraction form
    9,684.57/14,521.19 = 6,928.95/x
  3. Step 3: Cross multiply
    9,684.57x = 14,521.19 × 6,928.95
  4. Step 4: Simplify right side
    9,684.57x = 100,616,564.81
  5. Step 5: Solve for x
    x = 100,616,564.81/9,684.57
  6. Step 6: Final answer
    x = 10,389.37

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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.