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Finding the Fourth Proportional to 9,271.77, 13,840.22 and 8,586.51

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Solution

The fourth proportional to 9,271.77, 13,840.22 and 8,586.51 is: 12,817.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,271.77 : 13,840.22 = 8,586.51 : x
  2. Step 2: Convert to fraction form
    9,271.77/13,840.22 = 8,586.51/x
  3. Step 3: Cross multiply
    9,271.77x = 13,840.22 × 8,586.51
  4. Step 4: Simplify right side
    9,271.77x = 118,839,144.50
  5. Step 5: Solve for x
    x = 118,839,144.50/9,271.77
  6. Step 6: Final answer
    x = 12,817.31

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.