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Finding the Fourth Proportional to 9,145.59, 13,718.39 and 7,319.45

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Solution

The fourth proportional to 9,145.59, 13,718.39 and 7,319.45 is: 10,979.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,145.59 : 13,718.39 = 7,319.45 : x
  2. Step 2: Convert to fraction form
    9,145.59/13,718.39 = 7,319.45/x
  3. Step 3: Cross multiply
    9,145.59x = 13,718.39 × 7,319.45
  4. Step 4: Simplify right side
    9,145.59x = 100,410,964.50
  5. Step 5: Solve for x
    x = 100,410,964.50/9,145.59
  6. Step 6: Final answer
    x = 10,979.17

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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.