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Finding the Fourth Proportional to 9,638.10, 14,454.93 and 4,438.98

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Solution

The fourth proportional to 9,638.10, 14,454.93 and 4,438.98 is: 6,657.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,638.10 : 14,454.93 = 4,438.98 : x
  2. Step 2: Convert to fraction form
    9,638.10/14,454.93 = 4,438.98/x
  3. Step 3: Cross multiply
    9,638.10x = 14,454.93 × 4,438.98
  4. Step 4: Simplify right side
    9,638.10x = 64,165,145.17
  5. Step 5: Solve for x
    x = 64,165,145.17/9,638.10
  6. Step 6: Final answer
    x = 6,657.45

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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.