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Finding the Fourth Proportional to 9,774.30, 14,661.45 and 8,132.70

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Solution

The fourth proportional to 9,774.30, 14,661.45 and 8,132.70 is: 12,199.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,774.30 : 14,661.45 = 8,132.70 : x
  2. Step 2: Convert to fraction form
    9,774.30/14,661.45 = 8,132.70/x
  3. Step 3: Cross multiply
    9,774.30x = 14,661.45 × 8,132.70
  4. Step 4: Simplify right side
    9,774.30x = 119,237,174.42
  5. Step 5: Solve for x
    x = 119,237,174.42/9,774.30
  6. Step 6: Final answer
    x = 12,199.05

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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.