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Finding the Fourth Proportional to 9,775.20, 14,658.24 and 2,848.32

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Solution

The fourth proportional to 9,775.20, 14,658.24 and 2,848.32 is: 4,271.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,775.20 : 14,658.24 = 2,848.32 : x
  2. Step 2: Convert to fraction form
    9,775.20/14,658.24 = 2,848.32/x
  3. Step 3: Cross multiply
    9,775.20x = 14,658.24 × 2,848.32
  4. Step 4: Simplify right side
    9,775.20x = 41,751,358.16
  5. Step 5: Solve for x
    x = 41,751,358.16/9,775.20
  6. Step 6: Final answer
    x = 4,271.15

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