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Finding the Fourth Proportional to 9,558.16, 13,196.62 and 5,978.53

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Solution

The fourth proportional to 9,558.16, 13,196.62 and 5,978.53 is: 8,254.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,558.16 : 13,196.62 = 5,978.53 : x
  2. Step 2: Convert to fraction form
    9,558.16/13,196.62 = 5,978.53/x
  3. Step 3: Cross multiply
    9,558.16x = 13,196.62 × 5,978.53
  4. Step 4: Simplify right side
    9,558.16x = 78,896,388.57
  5. Step 5: Solve for x
    x = 78,896,388.57/9,558.16
  6. Step 6: Final answer
    x = 8,254.35

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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.