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Finding the Fourth Proportional to 9,212.84, 12,714.25 and 6,970.83

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Solution

The fourth proportional to 9,212.84, 12,714.25 and 6,970.83 is: 9,620.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,212.84 : 12,714.25 = 6,970.83 : x
  2. Step 2: Convert to fraction form
    9,212.84/12,714.25 = 6,970.83/x
  3. Step 3: Cross multiply
    9,212.84x = 12,714.25 × 6,970.83
  4. Step 4: Simplify right side
    9,212.84x = 88,628,823.29
  5. Step 5: Solve for x
    x = 88,628,823.29/9,212.84
  6. Step 6: Final answer
    x = 9,620.14

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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.