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Finding the Fourth Proportional to 9,799.71, 14,701.19 and 4,539.98

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Solution

The fourth proportional to 9,799.71, 14,701.19 and 4,539.98 is: 6,810.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,799.71 : 14,701.19 = 4,539.98 : x
  2. Step 2: Convert to fraction form
    9,799.71/14,701.19 = 4,539.98/x
  3. Step 3: Cross multiply
    9,799.71x = 14,701.19 × 4,539.98
  4. Step 4: Simplify right side
    9,799.71x = 66,743,108.58
  5. Step 5: Solve for x
    x = 66,743,108.58/9,799.71
  6. Step 6: Final answer
    x = 6,810.72

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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.