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Finding the Fourth Proportional to 9,532.95, 13,153.53 and 6,175.29

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Solution

The fourth proportional to 9,532.95, 13,153.53 and 6,175.29 is: 8,520.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,532.95 : 13,153.53 = 6,175.29 : x
  2. Step 2: Convert to fraction form
    9,532.95/13,153.53 = 6,175.29/x
  3. Step 3: Cross multiply
    9,532.95x = 13,153.53 × 6,175.29
  4. Step 4: Simplify right side
    9,532.95x = 81,226,862.27
  5. Step 5: Solve for x
    x = 81,226,862.27/9,532.95
  6. Step 6: Final answer
    x = 8,520.64

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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.