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Finding the Fourth Proportional to 9,613, 13,266.75 and 5,422.06

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Solution

The fourth proportional to 9,613, 13,266.75 and 5,422.06 is: 7,482.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,613 : 13,266.75 = 5,422.06 : x
  2. Step 2: Convert to fraction form
    9,613/13,266.75 = 5,422.06/x
  3. Step 3: Cross multiply
    9,613x = 13,266.75 × 5,422.06
  4. Step 4: Simplify right side
    9,613x = 71,933,114.51
  5. Step 5: Solve for x
    x = 71,933,114.51/9,613
  6. Step 6: Final answer
    x = 7,482.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.