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Finding the Fourth Proportional to 9,964.99, 14,940.16 and 4,774.51

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Solution

The fourth proportional to 9,964.99, 14,940.16 and 4,774.51 is: 7,158.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,964.99 : 14,940.16 = 4,774.51 : x
  2. Step 2: Convert to fraction form
    9,964.99/14,940.16 = 4,774.51/x
  3. Step 3: Cross multiply
    9,964.99x = 14,940.16 × 4,774.51
  4. Step 4: Simplify right side
    9,964.99x = 71,331,943.32
  5. Step 5: Solve for x
    x = 71,331,943.32/9,964.99
  6. Step 6: Final answer
    x = 7,158.26

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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.