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Finding the Fourth Proportional to 9,342.84, 14,014.32 and 2,417.34

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Solution

The fourth proportional to 9,342.84, 14,014.32 and 2,417.34 is: 3,626.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,342.84 : 14,014.32 = 2,417.34 : x
  2. Step 2: Convert to fraction form
    9,342.84/14,014.32 = 2,417.34/x
  3. Step 3: Cross multiply
    9,342.84x = 14,014.32 × 2,417.34
  4. Step 4: Simplify right side
    9,342.84x = 33,877,419.80
  5. Step 5: Solve for x
    x = 33,877,419.80/9,342.84
  6. Step 6: Final answer
    x = 3,626.03

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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.