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Finding the Fourth Proportional to 9,707.55, 13,394.10 and 7,050.33

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Solution

The fourth proportional to 9,707.55, 13,394.10 and 7,050.33 is: 9,727.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,707.55 : 13,394.10 = 7,050.33 : x
  2. Step 2: Convert to fraction form
    9,707.55/13,394.10 = 7,050.33/x
  3. Step 3: Cross multiply
    9,707.55x = 13,394.10 × 7,050.33
  4. Step 4: Simplify right side
    9,707.55x = 94,432,825.05
  5. Step 5: Solve for x
    x = 94,432,825.05/9,707.55
  6. Step 6: Final answer
    x = 9,727.77

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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.