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Finding the Fourth Proportional to 9,678.99, 14,438.13 and 9,355.06

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Solution

The fourth proportional to 9,678.99, 14,438.13 and 9,355.06 is: 13,954.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,678.99 : 14,438.13 = 9,355.06 : x
  2. Step 2: Convert to fraction form
    9,678.99/14,438.13 = 9,355.06/x
  3. Step 3: Cross multiply
    9,678.99x = 14,438.13 × 9,355.06
  4. Step 4: Simplify right side
    9,678.99x = 135,069,572.44
  5. Step 5: Solve for x
    x = 135,069,572.44/9,678.99
  6. Step 6: Final answer
    x = 13,954.92

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.