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Finding the Fourth Proportional to 9,684.55, 13,365.12 and 7,585.03

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Solution

The fourth proportional to 9,684.55, 13,365.12 and 7,585.03 is: 10,467.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,684.55 : 13,365.12 = 7,585.03 : x
  2. Step 2: Convert to fraction form
    9,684.55/13,365.12 = 7,585.03/x
  3. Step 3: Cross multiply
    9,684.55x = 13,365.12 × 7,585.03
  4. Step 4: Simplify right side
    9,684.55x = 101,374,838.64
  5. Step 5: Solve for x
    x = 101,374,838.64/9,684.55
  6. Step 6: Final answer
    x = 10,467.69

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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.