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Finding the Fourth Proportional to 9,994.62, 14,987.56 and 5,313.50

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Solution

The fourth proportional to 9,994.62, 14,987.56 and 5,313.50 is: 7,967.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,994.62 : 14,987.56 = 5,313.50 : x
  2. Step 2: Convert to fraction form
    9,994.62/14,987.56 = 5,313.50/x
  3. Step 3: Cross multiply
    9,994.62x = 14,987.56 × 5,313.50
  4. Step 4: Simplify right side
    9,994.62x = 79,636,400.06
  5. Step 5: Solve for x
    x = 79,636,400.06/9,994.62
  6. Step 6: Final answer
    x = 7,967.93

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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.