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Finding the Fourth Proportional to 9,140.30, 13,706.40 and 4,211.45

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Solution

The fourth proportional to 9,140.30, 13,706.40 and 4,211.45 is: 6,315.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,140.30 : 13,706.40 = 4,211.45 : x
  2. Step 2: Convert to fraction form
    9,140.30/13,706.40 = 4,211.45/x
  3. Step 3: Cross multiply
    9,140.30x = 13,706.40 × 4,211.45
  4. Step 4: Simplify right side
    9,140.30x = 57,723,818.28
  5. Step 5: Solve for x
    x = 57,723,818.28/9,140.30
  6. Step 6: Final answer
    x = 6,315.31

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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.