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Finding the Fourth Proportional to 9,779.52, 14,675.76 and 4,511.28

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Solution

The fourth proportional to 9,779.52, 14,675.76 and 4,511.28 is: 6,769.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,779.52 : 14,675.76 = 4,511.28 : x
  2. Step 2: Convert to fraction form
    9,779.52/14,675.76 = 4,511.28/x
  3. Step 3: Cross multiply
    9,779.52x = 14,675.76 × 4,511.28
  4. Step 4: Simplify right side
    9,779.52x = 66,206,462.57
  5. Step 5: Solve for x
    x = 66,206,462.57/9,779.52
  6. Step 6: Final answer
    x = 6,769.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.