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Finding the Fourth Proportional to 9,775.52, 14,652.27 and 4,848.69

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Solution

The fourth proportional to 9,775.52, 14,652.27 and 4,848.69 is: 7,267.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,775.52 : 14,652.27 = 4,848.69 : x
  2. Step 2: Convert to fraction form
    9,775.52/14,652.27 = 4,848.69/x
  3. Step 3: Cross multiply
    9,775.52x = 14,652.27 × 4,848.69
  4. Step 4: Simplify right side
    9,775.52x = 71,044,315.03
  5. Step 5: Solve for x
    x = 71,044,315.03/9,775.52
  6. Step 6: Final answer
    x = 7,267.58

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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.