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Finding the Fourth Proportional to 9,586.85, 14,303.27 and 8,534.36

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Solution

The fourth proportional to 9,586.85, 14,303.27 and 8,534.36 is: 12,732.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,586.85 : 14,303.27 = 8,534.36 : x
  2. Step 2: Convert to fraction form
    9,586.85/14,303.27 = 8,534.36/x
  3. Step 3: Cross multiply
    9,586.85x = 14,303.27 × 8,534.36
  4. Step 4: Simplify right side
    9,586.85x = 122,069,183.84
  5. Step 5: Solve for x
    x = 122,069,183.84/9,586.85
  6. Step 6: Final answer
    x = 12,732.98

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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.