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Finding the Fourth Proportional to 9,400.02, 14,089.02 and 4,717.50

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Solution

The fourth proportional to 9,400.02, 14,089.02 and 4,717.50 is: 7,070.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,400.02 : 14,089.02 = 4,717.50 : x
  2. Step 2: Convert to fraction form
    9,400.02/14,089.02 = 4,717.50/x
  3. Step 3: Cross multiply
    9,400.02x = 14,089.02 × 4,717.50
  4. Step 4: Simplify right side
    9,400.02x = 66,464,951.85
  5. Step 5: Solve for x
    x = 66,464,951.85/9,400.02
  6. Step 6: Final answer
    x = 7,070.72

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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.