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Finding the Fourth Proportional to 9,653.24, 14,483.10 and 3,080.36

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Solution

The fourth proportional to 9,653.24, 14,483.10 and 3,080.36 is: 4,621.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,653.24 : 14,483.10 = 3,080.36 : x
  2. Step 2: Convert to fraction form
    9,653.24/14,483.10 = 3,080.36/x
  3. Step 3: Cross multiply
    9,653.24x = 14,483.10 × 3,080.36
  4. Step 4: Simplify right side
    9,653.24x = 44,613,161.92
  5. Step 5: Solve for x
    x = 44,613,161.92/9,653.24
  6. Step 6: Final answer
    x = 4,621.57

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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.