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Finding the Fourth Proportional to 9,804.58, 14,708.50 and 3,564.92

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Solution

The fourth proportional to 9,804.58, 14,708.50 and 3,564.92 is: 5,347.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,804.58 : 14,708.50 = 3,564.92 : x
  2. Step 2: Convert to fraction form
    9,804.58/14,708.50 = 3,564.92/x
  3. Step 3: Cross multiply
    9,804.58x = 14,708.50 × 3,564.92
  4. Step 4: Simplify right side
    9,804.58x = 52,434,625.82
  5. Step 5: Solve for x
    x = 52,434,625.82/9,804.58
  6. Step 6: Final answer
    x = 5,347.97

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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.