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Finding the Fourth Proportional to 9,465.26, 13,061.25 and 6,102.14

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Solution

The fourth proportional to 9,465.26, 13,061.25 and 6,102.14 is: 8,420.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,465.26 : 13,061.25 = 6,102.14 : x
  2. Step 2: Convert to fraction form
    9,465.26/13,061.25 = 6,102.14/x
  3. Step 3: Cross multiply
    9,465.26x = 13,061.25 × 6,102.14
  4. Step 4: Simplify right side
    9,465.26x = 79,701,510.77
  5. Step 5: Solve for x
    x = 79,701,510.77/9,465.26
  6. Step 6: Final answer
    x = 8,420.43

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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.