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Finding the Fourth Proportional to 9,779.52, 14,658.26 and 4,852.70

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Solution

The fourth proportional to 9,779.52, 14,658.26 and 4,852.70 is: 7,273.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,779.52 : 14,658.26 = 4,852.70 : x
  2. Step 2: Convert to fraction form
    9,779.52/14,658.26 = 4,852.70/x
  3. Step 3: Cross multiply
    9,779.52x = 14,658.26 × 4,852.70
  4. Step 4: Simplify right side
    9,779.52x = 71,132,138.30
  5. Step 5: Solve for x
    x = 71,132,138.30/9,779.52
  6. Step 6: Final answer
    x = 7,273.58

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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.