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Finding the Fourth Proportional to 9,606.68, 14,411.60 and 3,031.32

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Solution

The fourth proportional to 9,606.68, 14,411.60 and 3,031.32 is: 4,547.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,606.68 : 14,411.60 = 3,031.32 : x
  2. Step 2: Convert to fraction form
    9,606.68/14,411.60 = 3,031.32/x
  3. Step 3: Cross multiply
    9,606.68x = 14,411.60 × 3,031.32
  4. Step 4: Simplify right side
    9,606.68x = 43,686,213.04
  5. Step 5: Solve for x
    x = 43,686,213.04/9,606.68
  6. Step 6: Final answer
    x = 4,547.48

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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.