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Finding the Fourth Proportional to 9,506.38, 14,254.82 and 2,931.72

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Solution

The fourth proportional to 9,506.38, 14,254.82 and 2,931.72 is: 4,396.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,506.38 : 14,254.82 = 2,931.72 : x
  2. Step 2: Convert to fraction form
    9,506.38/14,254.82 = 2,931.72/x
  3. Step 3: Cross multiply
    9,506.38x = 14,254.82 × 2,931.72
  4. Step 4: Simplify right side
    9,506.38x = 41,791,054.96
  5. Step 5: Solve for x
    x = 41,791,054.96/9,506.38
  6. Step 6: Final answer
    x = 4,396.11

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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.