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Finding the Fourth Proportional to 9,308.64, 13,944.10 and 4,303.90

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Solution

The fourth proportional to 9,308.64, 13,944.10 and 4,303.90 is: 6,447.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,308.64 : 13,944.10 = 4,303.90 : x
  2. Step 2: Convert to fraction form
    9,308.64/13,944.10 = 4,303.90/x
  3. Step 3: Cross multiply
    9,308.64x = 13,944.10 × 4,303.90
  4. Step 4: Simplify right side
    9,308.64x = 60,014,011.99
  5. Step 5: Solve for x
    x = 60,014,011.99/9,308.64
  6. Step 6: Final answer
    x = 6,447.13

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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.