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Finding the Fourth Proportional to 9,378.90, 12,941.01 and 5,186.34

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Solution

The fourth proportional to 9,378.90, 12,941.01 and 5,186.34 is: 7,156.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,378.90 : 12,941.01 = 5,186.34 : x
  2. Step 2: Convert to fraction form
    9,378.90/12,941.01 = 5,186.34/x
  3. Step 3: Cross multiply
    9,378.90x = 12,941.01 × 5,186.34
  4. Step 4: Simplify right side
    9,378.90x = 67,116,477.80
  5. Step 5: Solve for x
    x = 67,116,477.80/9,378.90
  6. Step 6: Final answer
    x = 7,156.11

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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.