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Finding the Fourth Proportional to 9,538.52, 13,159.94 and 6,185.64

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Solution

The fourth proportional to 9,538.52, 13,159.94 and 6,185.64 is: 8,534.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,538.52 : 13,159.94 = 6,185.64 : x
  2. Step 2: Convert to fraction form
    9,538.52/13,159.94 = 6,185.64/x
  3. Step 3: Cross multiply
    9,538.52x = 13,159.94 × 6,185.64
  4. Step 4: Simplify right side
    9,538.52x = 81,402,651.26
  5. Step 5: Solve for x
    x = 81,402,651.26/9,538.52
  6. Step 6: Final answer
    x = 8,534.10

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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.