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Finding the Fourth Proportional to 9,602.04, 13,249.86 and 7,085.52

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Solution

The fourth proportional to 9,602.04, 13,249.86 and 7,085.52 is: 9,777.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,602.04 : 13,249.86 = 7,085.52 : x
  2. Step 2: Convert to fraction form
    9,602.04/13,249.86 = 7,085.52/x
  3. Step 3: Cross multiply
    9,602.04x = 13,249.86 × 7,085.52
  4. Step 4: Simplify right side
    9,602.04x = 93,882,148.03
  5. Step 5: Solve for x
    x = 93,882,148.03/9,602.04
  6. Step 6: Final answer
    x = 9,777.31

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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.