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Finding the Fourth Proportional to 10,611.40, 14,647.68 and 9,113.30

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Solution

The fourth proportional to 10,611.40, 14,647.68 and 9,113.30 is: 12,579.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,611.40 : 14,647.68 = 9,113.30 : x
  2. Step 2: Convert to fraction form
    10,611.40/14,647.68 = 9,113.30/x
  3. Step 3: Cross multiply
    10,611.40x = 14,647.68 × 9,113.30
  4. Step 4: Simplify right side
    10,611.40x = 133,488,702.14
  5. Step 5: Solve for x
    x = 133,488,702.14/10,611.40
  6. Step 6: Final answer
    x = 12,579.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.