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Finding the Fourth Proportional to 9,415.19, 12,992.40 and 5,382.45

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Solution

The fourth proportional to 9,415.19, 12,992.40 and 5,382.45 is: 7,427.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,415.19 : 12,992.40 = 5,382.45 : x
  2. Step 2: Convert to fraction form
    9,415.19/12,992.40 = 5,382.45/x
  3. Step 3: Cross multiply
    9,415.19x = 12,992.40 × 5,382.45
  4. Step 4: Simplify right side
    9,415.19x = 69,930,916.47
  5. Step 5: Solve for x
    x = 69,930,916.47/9,415.19
  6. Step 6: Final answer
    x = 7,427.46

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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.