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Finding the Fourth Proportional to 9,774.87, 14,664.53 and 3,200.91

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Solution

The fourth proportional to 9,774.87, 14,664.53 and 3,200.91 is: 4,802.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,774.87 : 14,664.53 = 3,200.91 : x
  2. Step 2: Convert to fraction form
    9,774.87/14,664.53 = 3,200.91/x
  3. Step 3: Cross multiply
    9,774.87x = 14,664.53 × 3,200.91
  4. Step 4: Simplify right side
    9,774.87x = 46,939,840.72
  5. Step 5: Solve for x
    x = 46,939,840.72/9,774.87
  6. Step 6: Final answer
    x = 4,802.09

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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.