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Finding the Fourth Proportional to 9,840.44, 13,566.54 and 9,534.68

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Solution

The fourth proportional to 9,840.44, 13,566.54 and 9,534.68 is: 13,145.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,840.44 : 13,566.54 = 9,534.68 : x
  2. Step 2: Convert to fraction form
    9,840.44/13,566.54 = 9,534.68/x
  3. Step 3: Cross multiply
    9,840.44x = 13,566.54 × 9,534.68
  4. Step 4: Simplify right side
    9,840.44x = 129,352,617.61
  5. Step 5: Solve for x
    x = 129,352,617.61/9,840.44
  6. Step 6: Final answer
    x = 13,145.00

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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.