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Finding the Fourth Proportional to 9,655.68, 14,482.74 and 3,812.34

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Solution

The fourth proportional to 9,655.68, 14,482.74 and 3,812.34 is: 5,718.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,655.68 : 14,482.74 = 3,812.34 : x
  2. Step 2: Convert to fraction form
    9,655.68/14,482.74 = 3,812.34/x
  3. Step 3: Cross multiply
    9,655.68x = 14,482.74 × 3,812.34
  4. Step 4: Simplify right side
    9,655.68x = 55,213,129.01
  5. Step 5: Solve for x
    x = 55,213,129.01/9,655.68
  6. Step 6: Final answer
    x = 5,718.20

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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.