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Finding the Fourth Proportional to 9,415.51, 13,010.60 and 6,858.82

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Solution

The fourth proportional to 9,415.51, 13,010.60 and 6,858.82 is: 9,477.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,415.51 : 13,010.60 = 6,858.82 : x
  2. Step 2: Convert to fraction form
    9,415.51/13,010.60 = 6,858.82/x
  3. Step 3: Cross multiply
    9,415.51x = 13,010.60 × 6,858.82
  4. Step 4: Simplify right side
    9,415.51x = 89,237,371.18
  5. Step 5: Solve for x
    x = 89,237,371.18/9,415.51
  6. Step 6: Final answer
    x = 9,477.70

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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.