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Finding the Fourth Proportional to 9,705.40, 14,559.68 and 4,775.54

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Solution

The fourth proportional to 9,705.40, 14,559.68 and 4,775.54 is: 7,164.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,705.40 : 14,559.68 = 4,775.54 : x
  2. Step 2: Convert to fraction form
    9,705.40/14,559.68 = 4,775.54/x
  3. Step 3: Cross multiply
    9,705.40x = 14,559.68 × 4,775.54
  4. Step 4: Simplify right side
    9,705.40x = 69,530,273.37
  5. Step 5: Solve for x
    x = 69,530,273.37/9,705.40
  6. Step 6: Final answer
    x = 7,164.08

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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.