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Finding the Fourth Proportional to 9,497.94, 14,250.03 and 4,566.95

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Solution

The fourth proportional to 9,497.94, 14,250.03 and 4,566.95 is: 6,851.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,497.94 : 14,250.03 = 4,566.95 : x
  2. Step 2: Convert to fraction form
    9,497.94/14,250.03 = 4,566.95/x
  3. Step 3: Cross multiply
    9,497.94x = 14,250.03 × 4,566.95
  4. Step 4: Simplify right side
    9,497.94x = 65,079,103.26
  5. Step 5: Solve for x
    x = 65,079,103.26/9,497.94
  6. Step 6: Final answer
    x = 6,851.92

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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.