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Finding the Fourth Proportional to 9,048, 12,482.88 and 5,685.12

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Solution

The fourth proportional to 9,048, 12,482.88 and 5,685.12 is: 7,843.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,048 : 12,482.88 = 5,685.12 : x
  2. Step 2: Convert to fraction form
    9,048/12,482.88 = 5,685.12/x
  3. Step 3: Cross multiply
    9,048x = 12,482.88 × 5,685.12
  4. Step 4: Simplify right side
    9,048x = 70,966,670.75
  5. Step 5: Solve for x
    x = 70,966,670.75/9,048
  6. Step 6: Final answer
    x = 7,843.35

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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.