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Finding the Fourth Proportional to 9,514.72, 13,130.22 and 5,323

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Solution

The fourth proportional to 9,514.72, 13,130.22 and 5,323 is: 7,345.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,514.72 : 13,130.22 = 5,323 : x
  2. Step 2: Convert to fraction form
    9,514.72/13,130.22 = 5,323/x
  3. Step 3: Cross multiply
    9,514.72x = 13,130.22 × 5,323
  4. Step 4: Simplify right side
    9,514.72x = 69,892,161.06
  5. Step 5: Solve for x
    x = 69,892,161.06/9,514.72
  6. Step 6: Final answer
    x = 7,345.69

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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.