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Finding the Fourth Proportional to 9,858.64, 14,788.26 and 4,309.14

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Solution

The fourth proportional to 9,858.64, 14,788.26 and 4,309.14 is: 6,463.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,858.64 : 14,788.26 = 4,309.14 : x
  2. Step 2: Convert to fraction form
    9,858.64/14,788.26 = 4,309.14/x
  3. Step 3: Cross multiply
    9,858.64x = 14,788.26 × 4,309.14
  4. Step 4: Simplify right side
    9,858.64x = 63,724,682.70
  5. Step 5: Solve for x
    x = 63,724,682.70/9,858.64
  6. Step 6: Final answer
    x = 6,463.84

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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.