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Finding the Fourth Proportional to 6,328.33, 9,491.41 and 1,710.25

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Solution

The fourth proportional to 6,328.33, 9,491.41 and 1,710.25 is: 2,565.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,328.33 : 9,491.41 = 1,710.25 : x
  2. Step 2: Convert to fraction form
    6,328.33/9,491.41 = 1,710.25/x
  3. Step 3: Cross multiply
    6,328.33x = 9,491.41 × 1,710.25
  4. Step 4: Simplify right side
    6,328.33x = 16,232,683.95
  5. Step 5: Solve for x
    x = 16,232,683.95/6,328.33
  6. Step 6: Final answer
    x = 2,565.08

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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.