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Finding the Fourth Proportional to 9,537.56, 13,154.60 and 8,356.58

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Solution

The fourth proportional to 9,537.56, 13,154.60 and 8,356.58 is: 11,525.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,537.56 : 13,154.60 = 8,356.58 : x
  2. Step 2: Convert to fraction form
    9,537.56/13,154.60 = 8,356.58/x
  3. Step 3: Cross multiply
    9,537.56x = 13,154.60 × 8,356.58
  4. Step 4: Simplify right side
    9,537.56x = 109,927,467.27
  5. Step 5: Solve for x
    x = 109,927,467.27/9,537.56
  6. Step 6: Final answer
    x = 11,525.74

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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.