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Finding the Fourth Proportional to 9,546.01, 14,319.43 and 5,845.93

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Solution

The fourth proportional to 9,546.01, 14,319.43 and 5,845.93 is: 8,769.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,546.01 : 14,319.43 = 5,845.93 : x
  2. Step 2: Convert to fraction form
    9,546.01/14,319.43 = 5,845.93/x
  3. Step 3: Cross multiply
    9,546.01x = 14,319.43 × 5,845.93
  4. Step 4: Simplify right side
    9,546.01x = 83,710,335.01
  5. Step 5: Solve for x
    x = 83,710,335.01/9,546.01
  6. Step 6: Final answer
    x = 8,769.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.