Home / 9,742.08-14,616-2,816.64

Finding the Fourth Proportional to 9,742.08, 14,616 and 2,816.64

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Solution

The fourth proportional to 9,742.08, 14,616 and 2,816.64 is: 4,225.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,742.08 : 14,616 = 2,816.64 : x
  2. Step 2: Convert to fraction form
    9,742.08/14,616 = 2,816.64/x
  3. Step 3: Cross multiply
    9,742.08x = 14,616 × 2,816.64
  4. Step 4: Simplify right side
    9,742.08x = 41,168,010.24
  5. Step 5: Solve for x
    x = 41,168,010.24/9,742.08
  6. Step 6: Final answer
    x = 4,225.79

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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.