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Finding the Fourth Proportional to 9,702.09, 14,533.97 and 7,611.68

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Solution

The fourth proportional to 9,702.09, 14,533.97 and 7,611.68 is: 11,402.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,702.09 : 14,533.97 = 7,611.68 : x
  2. Step 2: Convert to fraction form
    9,702.09/14,533.97 = 7,611.68/x
  3. Step 3: Cross multiply
    9,702.09x = 14,533.97 × 7,611.68
  4. Step 4: Simplify right side
    9,702.09x = 110,627,928.77
  5. Step 5: Solve for x
    x = 110,627,928.77/9,702.09
  6. Step 6: Final answer
    x = 11,402.48

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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.