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Finding the Fourth Proportional to 9,211.84, 12,712.24 and 5,020

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Solution

The fourth proportional to 9,211.84, 12,712.24 and 5,020 is: 6,927.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,211.84 : 12,712.24 = 5,020 : x
  2. Step 2: Convert to fraction form
    9,211.84/12,712.24 = 5,020/x
  3. Step 3: Cross multiply
    9,211.84x = 12,712.24 × 5,020
  4. Step 4: Simplify right side
    9,211.84x = 63,815,444.80
  5. Step 5: Solve for x
    x = 63,815,444.80/9,211.84
  6. Step 6: Final answer
    x = 6,927.55

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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.