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Finding the Fourth Proportional to 9,338.95, 12,887.25 and 5,802.10

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Solution

The fourth proportional to 9,338.95, 12,887.25 and 5,802.10 is: 8,006.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,338.95 : 12,887.25 = 5,802.10 : x
  2. Step 2: Convert to fraction form
    9,338.95/12,887.25 = 5,802.10/x
  3. Step 3: Cross multiply
    9,338.95x = 12,887.25 × 5,802.10
  4. Step 4: Simplify right side
    9,338.95x = 74,773,113.23
  5. Step 5: Solve for x
    x = 74,773,113.23/9,338.95
  6. Step 6: Final answer
    x = 8,006.59

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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.