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Finding the Fourth Proportional to 9,870.69, 14,789.60 and 6,942.84

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Solution

The fourth proportional to 9,870.69, 14,789.60 and 6,942.84 is: 10,402.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,870.69 : 14,789.60 = 6,942.84 : x
  2. Step 2: Convert to fraction form
    9,870.69/14,789.60 = 6,942.84/x
  3. Step 3: Cross multiply
    9,870.69x = 14,789.60 × 6,942.84
  4. Step 4: Simplify right side
    9,870.69x = 102,681,826.46
  5. Step 5: Solve for x
    x = 102,681,826.46/9,870.69
  6. Step 6: Final answer
    x = 10,402.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.