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Finding the Fourth Proportional to 9,611.64, 14,389.92 and 8,689.08

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Solution

The fourth proportional to 9,611.64, 14,389.92 and 8,689.08 is: 13,008.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,611.64 : 14,389.92 = 8,689.08 : x
  2. Step 2: Convert to fraction form
    9,611.64/14,389.92 = 8,689.08/x
  3. Step 3: Cross multiply
    9,611.64x = 14,389.92 × 8,689.08
  4. Step 4: Simplify right side
    9,611.64x = 125,035,166.07
  5. Step 5: Solve for x
    x = 125,035,166.07/9,611.64
  6. Step 6: Final answer
    x = 13,008.72

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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.