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Finding the Fourth Proportional to 9,353.84, 14,030.86 and 2,428.34

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Solution

The fourth proportional to 9,353.84, 14,030.86 and 2,428.34 is: 3,642.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,353.84 : 14,030.86 = 2,428.34 : x
  2. Step 2: Convert to fraction form
    9,353.84/14,030.86 = 2,428.34/x
  3. Step 3: Cross multiply
    9,353.84x = 14,030.86 × 2,428.34
  4. Step 4: Simplify right side
    9,353.84x = 34,071,698.57
  5. Step 5: Solve for x
    x = 34,071,698.57/9,353.84
  6. Step 6: Final answer
    x = 3,642.54

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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.