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Finding the Fourth Proportional to 9,487.83, 13,092.54 and 5,509.32

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Solution

The fourth proportional to 9,487.83, 13,092.54 and 5,509.32 is: 7,602.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,487.83 : 13,092.54 = 5,509.32 : x
  2. Step 2: Convert to fraction form
    9,487.83/13,092.54 = 5,509.32/x
  3. Step 3: Cross multiply
    9,487.83x = 13,092.54 × 5,509.32
  4. Step 4: Simplify right side
    9,487.83x = 72,130,922.72
  5. Step 5: Solve for x
    x = 72,130,922.72/9,487.83
  6. Step 6: Final answer
    x = 7,602.46

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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.