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Finding the Fourth Proportional to 9,848.70, 13,596.24 and 6,678.77

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Solution

The fourth proportional to 9,848.70, 13,596.24 and 6,678.77 is: 9,220.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,848.70 : 13,596.24 = 6,678.77 : x
  2. Step 2: Convert to fraction form
    9,848.70/13,596.24 = 6,678.77/x
  3. Step 3: Cross multiply
    9,848.70x = 13,596.24 × 6,678.77
  4. Step 4: Simplify right side
    9,848.70x = 90,806,091.84
  5. Step 5: Solve for x
    x = 90,806,091.84/9,848.70
  6. Step 6: Final answer
    x = 9,220.11

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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.