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Finding the Fourth Proportional to 34,740.99, 52,114.56 and 9,781.25

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Solution

The fourth proportional to 34,740.99, 52,114.56 and 9,781.25 is: 14,672.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,740.99 : 52,114.56 = 9,781.25 : x
  2. Step 2: Convert to fraction form
    34,740.99/52,114.56 = 9,781.25/x
  3. Step 3: Cross multiply
    34,740.99x = 52,114.56 × 9,781.25
  4. Step 4: Simplify right side
    34,740.99x = 509,745,670.29
  5. Step 5: Solve for x
    x = 509,745,670.29/34,740.99
  6. Step 6: Final answer
    x = 14,672.74

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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.