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Finding the Fourth Proportional to 9,994.68, 14,989.14 and 3,069.72

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Solution

The fourth proportional to 9,994.68, 14,989.14 and 3,069.72 is: 4,603.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,994.68 : 14,989.14 = 3,069.72 : x
  2. Step 2: Convert to fraction form
    9,994.68/14,989.14 = 3,069.72/x
  3. Step 3: Cross multiply
    9,994.68x = 14,989.14 × 3,069.72
  4. Step 4: Simplify right side
    9,994.68x = 46,012,462.84
  5. Step 5: Solve for x
    x = 46,012,462.84/9,994.68
  6. Step 6: Final answer
    x = 4,603.70

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Why These Related Problems?

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