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Finding the Fourth Proportional to 9,515.99, 14,276.10 and 4,589.76

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Solution

The fourth proportional to 9,515.99, 14,276.10 and 4,589.76 is: 6,885.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,515.99 : 14,276.10 = 4,589.76 : x
  2. Step 2: Convert to fraction form
    9,515.99/14,276.10 = 4,589.76/x
  3. Step 3: Cross multiply
    9,515.99x = 14,276.10 × 4,589.76
  4. Step 4: Simplify right side
    9,515.99x = 65,523,872.74
  5. Step 5: Solve for x
    x = 65,523,872.74/9,515.99
  6. Step 6: Final answer
    x = 6,885.66

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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.