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Finding the Fourth Proportional to 9,906.36, 13,670.70 and 5,430.06

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Solution

The fourth proportional to 9,906.36, 13,670.70 and 5,430.06 is: 7,493.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,906.36 : 13,670.70 = 5,430.06 : x
  2. Step 2: Convert to fraction form
    9,906.36/13,670.70 = 5,430.06/x
  3. Step 3: Cross multiply
    9,906.36x = 13,670.70 × 5,430.06
  4. Step 4: Simplify right side
    9,906.36x = 74,232,721.24
  5. Step 5: Solve for x
    x = 74,232,721.24/9,906.36
  6. Step 6: Final answer
    x = 7,493.44

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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.