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Finding the Fourth Proportional to 9,693.36, 14,530.80 and 3,114.93

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Solution

The fourth proportional to 9,693.36, 14,530.80 and 3,114.93 is: 4,669.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,693.36 : 14,530.80 = 3,114.93 : x
  2. Step 2: Convert to fraction form
    9,693.36/14,530.80 = 3,114.93/x
  3. Step 3: Cross multiply
    9,693.36x = 14,530.80 × 3,114.93
  4. Step 4: Simplify right side
    9,693.36x = 45,262,424.84
  5. Step 5: Solve for x
    x = 45,262,424.84/9,693.36
  6. Step 6: Final answer
    x = 4,669.43

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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.