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Finding the Fourth Proportional to 9,506.18, 14,259.99 and 2,580.50

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Solution

The fourth proportional to 9,506.18, 14,259.99 and 2,580.50 is: 3,870.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,506.18 : 14,259.99 = 2,580.50 : x
  2. Step 2: Convert to fraction form
    9,506.18/14,259.99 = 2,580.50/x
  3. Step 3: Cross multiply
    9,506.18x = 14,259.99 × 2,580.50
  4. Step 4: Simplify right side
    9,506.18x = 36,797,904.20
  5. Step 5: Solve for x
    x = 36,797,904.20/9,506.18
  6. Step 6: Final answer
    x = 3,870.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.