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Finding the Fourth Proportional to 9,838.33, 13,575.95 and 5,645.77

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Solution

The fourth proportional to 9,838.33, 13,575.95 and 5,645.77 is: 7,790.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,838.33 : 13,575.95 = 5,645.77 : x
  2. Step 2: Convert to fraction form
    9,838.33/13,575.95 = 5,645.77/x
  3. Step 3: Cross multiply
    9,838.33x = 13,575.95 × 5,645.77
  4. Step 4: Simplify right side
    9,838.33x = 76,646,663.00
  5. Step 5: Solve for x
    x = 76,646,663.00/9,838.33
  6. Step 6: Final answer
    x = 7,790.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.