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Finding the Fourth Proportional to 9,938.40, 14,902.76 and 5,779.60

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Solution

The fourth proportional to 9,938.40, 14,902.76 and 5,779.60 is: 8,666.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,938.40 : 14,902.76 = 5,779.60 : x
  2. Step 2: Convert to fraction form
    9,938.40/14,902.76 = 5,779.60/x
  3. Step 3: Cross multiply
    9,938.40x = 14,902.76 × 5,779.60
  4. Step 4: Simplify right side
    9,938.40x = 86,131,991.70
  5. Step 5: Solve for x
    x = 86,131,991.70/9,938.40
  6. Step 6: Final answer
    x = 8,666.59

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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.