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Finding the Fourth Proportional to 9,915.02, 13,682.22 and 5,723

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Solution

The fourth proportional to 9,915.02, 13,682.22 and 5,723 is: 7,897.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,915.02 : 13,682.22 = 5,723 : x
  2. Step 2: Convert to fraction form
    9,915.02/13,682.22 = 5,723/x
  3. Step 3: Cross multiply
    9,915.02x = 13,682.22 × 5,723
  4. Step 4: Simplify right side
    9,915.02x = 78,303,345.06
  5. Step 5: Solve for x
    x = 78,303,345.06/9,915.02
  6. Step 6: Final answer
    x = 7,897.45

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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.