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Finding the Fourth Proportional to 9,670.58, 13,346.61 and 5,480.18

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Solution

The fourth proportional to 9,670.58, 13,346.61 and 5,480.18 is: 7,563.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,670.58 : 13,346.61 = 5,480.18 : x
  2. Step 2: Convert to fraction form
    9,670.58/13,346.61 = 5,480.18/x
  3. Step 3: Cross multiply
    9,670.58x = 13,346.61 × 5,480.18
  4. Step 4: Simplify right side
    9,670.58x = 73,141,825.19
  5. Step 5: Solve for x
    x = 73,141,825.19/9,670.58
  6. Step 6: Final answer
    x = 7,563.33

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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.