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Finding the Fourth Proportional to 9,274.34, 13,904.31 and 4,830.14

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Solution

The fourth proportional to 9,274.34, 13,904.31 and 4,830.14 is: 7,241.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,274.34 : 13,904.31 = 4,830.14 : x
  2. Step 2: Convert to fraction form
    9,274.34/13,904.31 = 4,830.14/x
  3. Step 3: Cross multiply
    9,274.34x = 13,904.31 × 4,830.14
  4. Step 4: Simplify right side
    9,274.34x = 67,159,763.90
  5. Step 5: Solve for x
    x = 67,159,763.90/9,274.34
  6. Step 6: Final answer
    x = 7,241.46

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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.