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Finding the Fourth Proportional to 9,580.22, 14,379.05 and 4,903.46

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Solution

The fourth proportional to 9,580.22, 14,379.05 and 4,903.46 is: 7,359.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,580.22 : 14,379.05 = 4,903.46 : x
  2. Step 2: Convert to fraction form
    9,580.22/14,379.05 = 4,903.46/x
  3. Step 3: Cross multiply
    9,580.22x = 14,379.05 × 4,903.46
  4. Step 4: Simplify right side
    9,580.22x = 70,507,090.80
  5. Step 5: Solve for x
    x = 70,507,090.80/9,580.22
  6. Step 6: Final answer
    x = 7,359.65

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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.