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Finding the Fourth Proportional to 9,594.94, 14,395.92 and 4,047.79

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Solution

The fourth proportional to 9,594.94, 14,395.92 and 4,047.79 is: 6,073.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,594.94 : 14,395.92 = 4,047.79 : x
  2. Step 2: Convert to fraction form
    9,594.94/14,395.92 = 4,047.79/x
  3. Step 3: Cross multiply
    9,594.94x = 14,395.92 × 4,047.79
  4. Step 4: Simplify right side
    9,594.94x = 58,271,661.02
  5. Step 5: Solve for x
    x = 58,271,661.02/9,594.94
  6. Step 6: Final answer
    x = 6,073.17

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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.