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Finding the Fourth Proportional to 9,657.72, 14,482.85 and 4,113.63

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Solution

The fourth proportional to 9,657.72, 14,482.85 and 4,113.63 is: 6,168.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,657.72 : 14,482.85 = 4,113.63 : x
  2. Step 2: Convert to fraction form
    9,657.72/14,482.85 = 4,113.63/x
  3. Step 3: Cross multiply
    9,657.72x = 14,482.85 × 4,113.63
  4. Step 4: Simplify right side
    9,657.72x = 59,577,065.68
  5. Step 5: Solve for x
    x = 59,577,065.68/9,657.72
  6. Step 6: Final answer
    x = 6,168.85

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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.