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Finding the Fourth Proportional to 9,835.50, 13,572.99 and 5,643.75

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Solution

The fourth proportional to 9,835.50, 13,572.99 and 5,643.75 is: 7,788.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,835.50 : 13,572.99 = 5,643.75 : x
  2. Step 2: Convert to fraction form
    9,835.50/13,572.99 = 5,643.75/x
  3. Step 3: Cross multiply
    9,835.50x = 13,572.99 × 5,643.75
  4. Step 4: Simplify right side
    9,835.50x = 76,602,562.31
  5. Step 5: Solve for x
    x = 76,602,562.31/9,835.50
  6. Step 6: Final answer
    x = 7,788.38

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Why These Related Problems?

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