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Finding the Fourth Proportional to 9,536.58, 13,156.02 and 6,180.51

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Solution

The fourth proportional to 9,536.58, 13,156.02 and 6,180.51 is: 8,526.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,536.58 : 13,156.02 = 6,180.51 : x
  2. Step 2: Convert to fraction form
    9,536.58/13,156.02 = 6,180.51/x
  3. Step 3: Cross multiply
    9,536.58x = 13,156.02 × 6,180.51
  4. Step 4: Simplify right side
    9,536.58x = 81,310,913.17
  5. Step 5: Solve for x
    x = 81,310,913.17/9,536.58
  6. Step 6: Final answer
    x = 8,526.21

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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.