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Finding the Fourth Proportional to 9,750.84, 14,586.12 and 8,109.60

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Solution

The fourth proportional to 9,750.84, 14,586.12 and 8,109.60 is: 12,131.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,750.84 : 14,586.12 = 8,109.60 : x
  2. Step 2: Convert to fraction form
    9,750.84/14,586.12 = 8,109.60/x
  3. Step 3: Cross multiply
    9,750.84x = 14,586.12 × 8,109.60
  4. Step 4: Simplify right side
    9,750.84x = 118,287,598.75
  5. Step 5: Solve for x
    x = 118,287,598.75/9,750.84
  6. Step 6: Final answer
    x = 12,131.02

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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.