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Finding the Fourth Proportional to 9,533.84, 14,307.44 and 6,419.79

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Solution

The fourth proportional to 9,533.84, 14,307.44 and 6,419.79 is: 9,634.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,533.84 : 14,307.44 = 6,419.79 : x
  2. Step 2: Convert to fraction form
    9,533.84/14,307.44 = 6,419.79/x
  3. Step 3: Cross multiply
    9,533.84x = 14,307.44 × 6,419.79
  4. Step 4: Simplify right side
    9,533.84x = 91,850,728.14
  5. Step 5: Solve for x
    x = 91,850,728.14/9,533.84
  6. Step 6: Final answer
    x = 9,634.18

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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.