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Finding the Fourth Proportional to 9,366, 12,925.08 and 5,174.25

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Solution

The fourth proportional to 9,366, 12,925.08 and 5,174.25 is: 7,140.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,366 : 12,925.08 = 5,174.25 : x
  2. Step 2: Convert to fraction form
    9,366/12,925.08 = 5,174.25/x
  3. Step 3: Cross multiply
    9,366x = 12,925.08 × 5,174.25
  4. Step 4: Simplify right side
    9,366x = 66,877,595.19
  5. Step 5: Solve for x
    x = 66,877,595.19/9,366
  6. Step 6: Final answer
    x = 7,140.47

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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.