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Finding the Fourth Proportional to 9,454.53, 13,048.84 and 5,478.06

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Solution

The fourth proportional to 9,454.53, 13,048.84 and 5,478.06 is: 7,560.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,454.53 : 13,048.84 = 5,478.06 : x
  2. Step 2: Convert to fraction form
    9,454.53/13,048.84 = 5,478.06/x
  3. Step 3: Cross multiply
    9,454.53x = 13,048.84 × 5,478.06
  4. Step 4: Simplify right side
    9,454.53x = 71,482,328.45
  5. Step 5: Solve for x
    x = 71,482,328.45/9,454.53
  6. Step 6: Final answer
    x = 7,560.64

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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.