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Finding the Fourth Proportional to 9,779.94, 14,671.77 and 3,206.52

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Solution

The fourth proportional to 9,779.94, 14,671.77 and 3,206.52 is: 4,810.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,779.94 : 14,671.77 = 3,206.52 : x
  2. Step 2: Convert to fraction form
    9,779.94/14,671.77 = 3,206.52/x
  3. Step 3: Cross multiply
    9,779.94x = 14,671.77 × 3,206.52
  4. Step 4: Simplify right side
    9,779.94x = 47,045,311.92
  5. Step 5: Solve for x
    x = 47,045,311.92/9,779.94
  6. Step 6: Final answer
    x = 4,810.39

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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.