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Finding the Fourth Proportional to 9,715.77, 14,586.98 and 5,039.01

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Solution

The fourth proportional to 9,715.77, 14,586.98 and 5,039.01 is: 7,565.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,715.77 : 14,586.98 = 5,039.01 : x
  2. Step 2: Convert to fraction form
    9,715.77/14,586.98 = 5,039.01/x
  3. Step 3: Cross multiply
    9,715.77x = 14,586.98 × 5,039.01
  4. Step 4: Simplify right side
    9,715.77x = 73,503,912.89
  5. Step 5: Solve for x
    x = 73,503,912.89/9,715.77
  6. Step 6: Final answer
    x = 7,565.42

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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.