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Finding the Fourth Proportional to 9,367.56, 12,925.71 and 5,175

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Solution

The fourth proportional to 9,367.56, 12,925.71 and 5,175 is: 7,140.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,367.56 : 12,925.71 = 5,175 : x
  2. Step 2: Convert to fraction form
    9,367.56/12,925.71 = 5,175/x
  3. Step 3: Cross multiply
    9,367.56x = 12,925.71 × 5,175
  4. Step 4: Simplify right side
    9,367.56x = 66,890,549.25
  5. Step 5: Solve for x
    x = 66,890,549.25/9,367.56
  6. Step 6: Final answer
    x = 7,140.66

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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.