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Finding the Fourth Proportional to 9,678.99, 14,518.48 and 2,753.49

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Solution

The fourth proportional to 9,678.99, 14,518.48 and 2,753.49 is: 4,130.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,678.99 : 14,518.48 = 2,753.49 : x
  2. Step 2: Convert to fraction form
    9,678.99/14,518.48 = 2,753.49/x
  3. Step 3: Cross multiply
    9,678.99x = 14,518.48 × 2,753.49
  4. Step 4: Simplify right side
    9,678.99x = 39,976,428.17
  5. Step 5: Solve for x
    x = 39,976,428.17/9,678.99
  6. Step 6: Final answer
    x = 4,130.23

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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.