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Finding the Fourth Proportional to 9,525.78, 14,301.78 and 4,848.96

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Solution

The fourth proportional to 9,525.78, 14,301.78 and 4,848.96 is: 7,280.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,525.78 : 14,301.78 = 4,848.96 : x
  2. Step 2: Convert to fraction form
    9,525.78/14,301.78 = 4,848.96/x
  3. Step 3: Cross multiply
    9,525.78x = 14,301.78 × 4,848.96
  4. Step 4: Simplify right side
    9,525.78x = 69,348,759.15
  5. Step 5: Solve for x
    x = 69,348,759.15/9,525.78
  6. Step 6: Final answer
    x = 7,280.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.