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Finding the Fourth Proportional to 9,419.98, 14,109.47 and 4,474.63

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Solution

The fourth proportional to 9,419.98, 14,109.47 and 4,474.63 is: 6,702.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,419.98 : 14,109.47 = 4,474.63 : x
  2. Step 2: Convert to fraction form
    9,419.98/14,109.47 = 4,474.63/x
  3. Step 3: Cross multiply
    9,419.98x = 14,109.47 × 4,474.63
  4. Step 4: Simplify right side
    9,419.98x = 63,134,657.75
  5. Step 5: Solve for x
    x = 63,134,657.75/9,419.98
  6. Step 6: Final answer
    x = 6,702.21

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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.