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Finding the Fourth Proportional to 9,549.84, 14,322.28 and 6,428.08

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Solution

The fourth proportional to 9,549.84, 14,322.28 and 6,428.08 is: 9,640.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,549.84 : 14,322.28 = 6,428.08 : x
  2. Step 2: Convert to fraction form
    9,549.84/14,322.28 = 6,428.08/x
  3. Step 3: Cross multiply
    9,549.84x = 14,322.28 × 6,428.08
  4. Step 4: Simplify right side
    9,549.84x = 92,064,761.62
  5. Step 5: Solve for x
    x = 92,064,761.62/9,549.84
  6. Step 6: Final answer
    x = 9,640.45

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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.