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Finding the Fourth Proportional to 9,994.84, 14,971.74 and 4,734.70

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Solution

The fourth proportional to 9,994.84, 14,971.74 and 4,734.70 is: 7,092.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,994.84 : 14,971.74 = 4,734.70 : x
  2. Step 2: Convert to fraction form
    9,994.84/14,971.74 = 4,734.70/x
  3. Step 3: Cross multiply
    9,994.84x = 14,971.74 × 4,734.70
  4. Step 4: Simplify right side
    9,994.84x = 70,886,697.38
  5. Step 5: Solve for x
    x = 70,886,697.38/9,994.84
  6. Step 6: Final answer
    x = 7,092.33

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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.