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Finding the Fourth Proportional to 9,386.22, 14,069.61 and 7,725.32

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Solution

The fourth proportional to 9,386.22, 14,069.61 and 7,725.32 is: 11,579.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,386.22 : 14,069.61 = 7,725.32 : x
  2. Step 2: Convert to fraction form
    9,386.22/14,069.61 = 7,725.32/x
  3. Step 3: Cross multiply
    9,386.22x = 14,069.61 × 7,725.32
  4. Step 4: Simplify right side
    9,386.22x = 108,692,239.53
  5. Step 5: Solve for x
    x = 108,692,239.53/9,386.22
  6. Step 6: Final answer
    x = 11,579.98

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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.