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Finding the Fourth Proportional to 9,506.70, 14,261.40 and 2,931.66

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Solution

The fourth proportional to 9,506.70, 14,261.40 and 2,931.66 is: 4,397.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,506.70 : 14,261.40 = 2,931.66 : x
  2. Step 2: Convert to fraction form
    9,506.70/14,261.40 = 2,931.66/x
  3. Step 3: Cross multiply
    9,506.70x = 14,261.40 × 2,931.66
  4. Step 4: Simplify right side
    9,506.70x = 41,809,575.92
  5. Step 5: Solve for x
    x = 41,809,575.92/9,506.70
  6. Step 6: Final answer
    x = 4,397.91

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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.