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Finding the Fourth Proportional to 9,415.04, 14,124.20 and 3,871.40

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Solution

The fourth proportional to 9,415.04, 14,124.20 and 3,871.40 is: 5,807.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,415.04 : 14,124.20 = 3,871.40 : x
  2. Step 2: Convert to fraction form
    9,415.04/14,124.20 = 3,871.40/x
  3. Step 3: Cross multiply
    9,415.04x = 14,124.20 × 3,871.40
  4. Step 4: Simplify right side
    9,415.04x = 54,680,427.88
  5. Step 5: Solve for x
    x = 54,680,427.88/9,415.04
  6. Step 6: Final answer
    x = 5,807.77

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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.