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Finding the Fourth Proportional to 9,611.84, 14,417.76 and 2,686.16

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Solution

The fourth proportional to 9,611.84, 14,417.76 and 2,686.16 is: 4,029.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,611.84 : 14,417.76 = 2,686.16 : x
  2. Step 2: Convert to fraction form
    9,611.84/14,417.76 = 2,686.16/x
  3. Step 3: Cross multiply
    9,611.84x = 14,417.76 × 2,686.16
  4. Step 4: Simplify right side
    9,611.84x = 38,728,410.20
  5. Step 5: Solve for x
    x = 38,728,410.20/9,611.84
  6. Step 6: Final answer
    x = 4,029.24

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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.