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Finding the Fourth Proportional to 9,376.81, 14,058.28 and 5,678.17

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Solution

The fourth proportional to 9,376.81, 14,058.28 and 5,678.17 is: 8,513.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,376.81 : 14,058.28 = 5,678.17 : x
  2. Step 2: Convert to fraction form
    9,376.81/14,058.28 = 5,678.17/x
  3. Step 3: Cross multiply
    9,376.81x = 14,058.28 × 5,678.17
  4. Step 4: Simplify right side
    9,376.81x = 79,825,303.75
  5. Step 5: Solve for x
    x = 79,825,303.75/9,376.81
  6. Step 6: Final answer
    x = 8,513.06

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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.