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Finding the Fourth Proportional to 9,709.83, 14,567.07 and 5,764.52

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Solution

The fourth proportional to 9,709.83, 14,567.07 and 5,764.52 is: 8,648.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,709.83 : 14,567.07 = 5,764.52 : x
  2. Step 2: Convert to fraction form
    9,709.83/14,567.07 = 5,764.52/x
  3. Step 3: Cross multiply
    9,709.83x = 14,567.07 × 5,764.52
  4. Step 4: Simplify right side
    9,709.83x = 83,972,166.36
  5. Step 5: Solve for x
    x = 83,972,166.36/9,709.83
  6. Step 6: Final answer
    x = 8,648.16

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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.