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Finding the Fourth Proportional to 9,415.84, 12,994.14 and 5,224

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Solution

The fourth proportional to 9,415.84, 12,994.14 and 5,224 is: 7,209.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,415.84 : 12,994.14 = 5,224 : x
  2. Step 2: Convert to fraction form
    9,415.84/12,994.14 = 5,224/x
  3. Step 3: Cross multiply
    9,415.84x = 12,994.14 × 5,224
  4. Step 4: Simplify right side
    9,415.84x = 67,881,387.36
  5. Step 5: Solve for x
    x = 67,881,387.36/9,415.84
  6. Step 6: Final answer
    x = 7,209.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.