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Finding the Fourth Proportional to 9,170.48, 13,741.32 and 7,095.66

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Solution

The fourth proportional to 9,170.48, 13,741.32 and 7,095.66 is: 10,632.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,170.48 : 13,741.32 = 7,095.66 : x
  2. Step 2: Convert to fraction form
    9,170.48/13,741.32 = 7,095.66/x
  3. Step 3: Cross multiply
    9,170.48x = 13,741.32 × 7,095.66
  4. Step 4: Simplify right side
    9,170.48x = 97,503,734.67
  5. Step 5: Solve for x
    x = 97,503,734.67/9,170.48
  6. Step 6: Final answer
    x = 10,632.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.