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Finding the Fourth Proportional to 9,456.17, 13,050.68 and 5,477.31

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Solution

The fourth proportional to 9,456.17, 13,050.68 and 5,477.31 is: 7,559.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,456.17 : 13,050.68 = 5,477.31 : x
  2. Step 2: Convert to fraction form
    9,456.17/13,050.68 = 5,477.31/x
  3. Step 3: Cross multiply
    9,456.17x = 13,050.68 × 5,477.31
  4. Step 4: Simplify right side
    9,456.17x = 71,482,592.68
  5. Step 5: Solve for x
    x = 71,482,592.68/9,456.17
  6. Step 6: Final answer
    x = 7,559.36

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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.