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Finding the Fourth Proportional to 9,482.38, 13,085.69 and 5,290.63

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Solution

The fourth proportional to 9,482.38, 13,085.69 and 5,290.63 is: 7,301.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,482.38 : 13,085.69 = 5,290.63 : x
  2. Step 2: Convert to fraction form
    9,482.38/13,085.69 = 5,290.63/x
  3. Step 3: Cross multiply
    9,482.38x = 13,085.69 × 5,290.63
  4. Step 4: Simplify right side
    9,482.38x = 69,231,452.20
  5. Step 5: Solve for x
    x = 69,231,452.20/9,482.38
  6. Step 6: Final answer
    x = 7,301.07

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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.