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Finding the Fourth Proportional to 9,586.90, 14,380.35 and 9,133.30

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Solution

The fourth proportional to 9,586.90, 14,380.35 and 9,133.30 is: 13,699.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,586.90 : 14,380.35 = 9,133.30 : x
  2. Step 2: Convert to fraction form
    9,586.90/14,380.35 = 9,133.30/x
  3. Step 3: Cross multiply
    9,586.90x = 14,380.35 × 9,133.30
  4. Step 4: Simplify right side
    9,586.90x = 131,340,050.66
  5. Step 5: Solve for x
    x = 131,340,050.66/9,586.90
  6. Step 6: Final answer
    x = 13,699.95

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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.