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Finding the Fourth Proportional to 9,580.40, 13,216.93 and 6,224.48

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Solution

The fourth proportional to 9,580.40, 13,216.93 and 6,224.48 is: 8,587.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,580.40 : 13,216.93 = 6,224.48 : x
  2. Step 2: Convert to fraction form
    9,580.40/13,216.93 = 6,224.48/x
  3. Step 3: Cross multiply
    9,580.40x = 13,216.93 × 6,224.48
  4. Step 4: Simplify right side
    9,580.40x = 82,268,434.80
  5. Step 5: Solve for x
    x = 82,268,434.80/9,580.40
  6. Step 6: Final answer
    x = 8,587.17

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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.