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Finding the Fourth Proportional to 9,501.63, 13,109.63 and 6,144.59

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Solution

The fourth proportional to 9,501.63, 13,109.63 and 6,144.59 is: 8,477.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,501.63 : 13,109.63 = 6,144.59 : x
  2. Step 2: Convert to fraction form
    9,501.63/13,109.63 = 6,144.59/x
  3. Step 3: Cross multiply
    9,501.63x = 13,109.63 × 6,144.59
  4. Step 4: Simplify right side
    9,501.63x = 80,553,205.13
  5. Step 5: Solve for x
    x = 80,553,205.13/9,501.63
  6. Step 6: Final answer
    x = 8,477.83

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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.