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Finding the Fourth Proportional to 9,774.90, 14,653.17 and 6,960.96

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Solution

The fourth proportional to 9,774.90, 14,653.17 and 6,960.96 is: 10,434.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,774.90 : 14,653.17 = 6,960.96 : x
  2. Step 2: Convert to fraction form
    9,774.90/14,653.17 = 6,960.96/x
  3. Step 3: Cross multiply
    9,774.90x = 14,653.17 × 6,960.96
  4. Step 4: Simplify right side
    9,774.90x = 102,000,130.24
  5. Step 5: Solve for x
    x = 102,000,130.24/9,774.90
  6. Step 6: Final answer
    x = 10,434.90

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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.