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Finding the Fourth Proportional to 9,521, 13,144.74 and 6,214.76

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Solution

The fourth proportional to 9,521, 13,144.74 and 6,214.76 is: 8,580.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,521 : 13,144.74 = 6,214.76 : x
  2. Step 2: Convert to fraction form
    9,521/13,144.74 = 6,214.76/x
  3. Step 3: Cross multiply
    9,521x = 13,144.74 × 6,214.76
  4. Step 4: Simplify right side
    9,521x = 81,691,404.36
  5. Step 5: Solve for x
    x = 81,691,404.36/9,521
  6. Step 6: Final answer
    x = 8,580.13

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