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Finding the Fourth Proportional to 9,484, 13,044.18 and 8,303.02

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Solution

The fourth proportional to 9,484, 13,044.18 and 8,303.02 is: 11,419.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,484 : 13,044.18 = 8,303.02 : x
  2. Step 2: Convert to fraction form
    9,484/13,044.18 = 8,303.02/x
  3. Step 3: Cross multiply
    9,484x = 13,044.18 × 8,303.02
  4. Step 4: Simplify right side
    9,484x = 108,306,087.42
  5. Step 5: Solve for x
    x = 108,306,087.42/9,484
  6. Step 6: Final answer
    x = 11,419.87

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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.