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Finding the Fourth Proportional to 9,706.25, 14,562.80 and 4,779.35

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Solution

The fourth proportional to 9,706.25, 14,562.80 and 4,779.35 is: 7,170.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,706.25 : 14,562.80 = 4,779.35 : x
  2. Step 2: Convert to fraction form
    9,706.25/14,562.80 = 4,779.35/x
  3. Step 3: Cross multiply
    9,706.25x = 14,562.80 × 4,779.35
  4. Step 4: Simplify right side
    9,706.25x = 69,600,694.00
  5. Step 5: Solve for x
    x = 69,600,694.00/9,706.25
  6. Step 6: Final answer
    x = 7,170.71

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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.