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Finding the Fourth Proportional to 9,358.41, 12,914.62 and 5,166.66

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Solution

The fourth proportional to 9,358.41, 12,914.62 and 5,166.66 is: 7,130.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,358.41 : 12,914.62 = 5,166.66 : x
  2. Step 2: Convert to fraction form
    9,358.41/12,914.62 = 5,166.66/x
  3. Step 3: Cross multiply
    9,358.41x = 12,914.62 × 5,166.66
  4. Step 4: Simplify right side
    9,358.41x = 66,725,437.65
  5. Step 5: Solve for x
    x = 66,725,437.65/9,358.41
  6. Step 6: Final answer
    x = 7,130.00

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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.