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Finding the Fourth Proportional to 9,777.42, 14,666.13 and 3,538.26

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Solution

The fourth proportional to 9,777.42, 14,666.13 and 3,538.26 is: 5,307.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,777.42 : 14,666.13 = 3,538.26 : x
  2. Step 2: Convert to fraction form
    9,777.42/14,666.13 = 3,538.26/x
  3. Step 3: Cross multiply
    9,777.42x = 14,666.13 × 3,538.26
  4. Step 4: Simplify right side
    9,777.42x = 51,892,581.13
  5. Step 5: Solve for x
    x = 51,892,581.13/9,777.42
  6. Step 6: Final answer
    x = 5,307.39

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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.