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Finding the Fourth Proportional to 9,705.75, 14,564.27 and 4,083.01

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Solution

The fourth proportional to 9,705.75, 14,564.27 and 4,083.01 is: 6,126.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,705.75 : 14,564.27 = 4,083.01 : x
  2. Step 2: Convert to fraction form
    9,705.75/14,564.27 = 4,083.01/x
  3. Step 3: Cross multiply
    9,705.75x = 14,564.27 × 4,083.01
  4. Step 4: Simplify right side
    9,705.75x = 59,466,060.05
  5. Step 5: Solve for x
    x = 59,466,060.05/9,705.75
  6. Step 6: Final answer
    x = 6,126.89

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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.