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Finding the Fourth Proportional to 9,535.53, 13,154.22 and 6,386.25

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Solution

The fourth proportional to 9,535.53, 13,154.22 and 6,386.25 is: 8,809.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,535.53 : 13,154.22 = 6,386.25 : x
  2. Step 2: Convert to fraction form
    9,535.53/13,154.22 = 6,386.25/x
  3. Step 3: Cross multiply
    9,535.53x = 13,154.22 × 6,386.25
  4. Step 4: Simplify right side
    9,535.53x = 84,006,137.48
  5. Step 5: Solve for x
    x = 84,006,137.48/9,535.53
  6. Step 6: Final answer
    x = 8,809.80

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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.