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Finding the Fourth Proportional to 9,284.00, 13,909.80 and 7,733.96

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Solution

The fourth proportional to 9,284.00, 13,909.80 and 7,733.96 is: 11,587.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,284.00 : 13,909.80 = 7,733.96 : x
  2. Step 2: Convert to fraction form
    9,284.00/13,909.80 = 7,733.96/x
  3. Step 3: Cross multiply
    9,284.00x = 13,909.80 × 7,733.96
  4. Step 4: Simplify right side
    9,284.00x = 107,577,904.91
  5. Step 5: Solve for x
    x = 107,577,904.91/9,284.00
  6. Step 6: Final answer
    x = 11,587.45

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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.