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Finding the Fourth Proportional to 9,341.33, 12,890.54 and 5,804.46

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Solution

The fourth proportional to 9,341.33, 12,890.54 and 5,804.46 is: 8,009.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,341.33 : 12,890.54 = 5,804.46 : x
  2. Step 2: Convert to fraction form
    9,341.33/12,890.54 = 5,804.46/x
  3. Step 3: Cross multiply
    9,341.33x = 12,890.54 × 5,804.46
  4. Step 4: Simplify right side
    9,341.33x = 74,822,638.32
  5. Step 5: Solve for x
    x = 74,822,638.32/9,341.33
  6. Step 6: Final answer
    x = 8,009.85

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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.