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Finding the Fourth Proportional to 9,967.68, 14,957.40 and 3,641.99

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Solution

The fourth proportional to 9,967.68, 14,957.40 and 3,641.99 is: 5,465.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,967.68 : 14,957.40 = 3,641.99 : x
  2. Step 2: Convert to fraction form
    9,967.68/14,957.40 = 3,641.99/x
  3. Step 3: Cross multiply
    9,967.68x = 14,957.40 × 3,641.99
  4. Step 4: Simplify right side
    9,967.68x = 54,474,752.28
  5. Step 5: Solve for x
    x = 54,474,752.28/9,967.68
  6. Step 6: Final answer
    x = 5,465.14

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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.