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Finding the Fourth Proportional to 9,708.64, 14,554.32 and 4,511.68

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Solution

The fourth proportional to 9,708.64, 14,554.32 and 4,511.68 is: 6,763.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,708.64 : 14,554.32 = 4,511.68 : x
  2. Step 2: Convert to fraction form
    9,708.64/14,554.32 = 4,511.68/x
  3. Step 3: Cross multiply
    9,708.64x = 14,554.32 × 4,511.68
  4. Step 4: Simplify right side
    9,708.64x = 65,664,434.46
  5. Step 5: Solve for x
    x = 65,664,434.46/9,708.64
  6. Step 6: Final answer
    x = 6,763.50

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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.