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Finding the Fourth Proportional to 9,585.68, 14,360.09 and 5,877.09

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Solution

The fourth proportional to 9,585.68, 14,360.09 and 5,877.09 is: 8,804.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,585.68 : 14,360.09 = 5,877.09 : x
  2. Step 2: Convert to fraction form
    9,585.68/14,360.09 = 5,877.09/x
  3. Step 3: Cross multiply
    9,585.68x = 14,360.09 × 5,877.09
  4. Step 4: Simplify right side
    9,585.68x = 84,395,511.95
  5. Step 5: Solve for x
    x = 84,395,511.95/9,585.68
  6. Step 6: Final answer
    x = 8,804.34

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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.