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Finding the Fourth Proportional to 9,606.64, 14,411.16 and 3,031.86

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Solution

The fourth proportional to 9,606.64, 14,411.16 and 3,031.86 is: 4,548.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,606.64 : 14,411.16 = 3,031.86 : x
  2. Step 2: Convert to fraction form
    9,606.64/14,411.16 = 3,031.86/x
  3. Step 3: Cross multiply
    9,606.64x = 14,411.16 × 3,031.86
  4. Step 4: Simplify right side
    9,606.64x = 43,692,619.56
  5. Step 5: Solve for x
    x = 43,692,619.56/9,606.64
  6. Step 6: Final answer
    x = 4,548.17

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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.