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Finding the Fourth Proportional to 9,848.52, 14,765.48 and 5,952.01

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Solution

The fourth proportional to 9,848.52, 14,765.48 and 5,952.01 is: 8,923.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,848.52 : 14,765.48 = 5,952.01 : x
  2. Step 2: Convert to fraction form
    9,848.52/14,765.48 = 5,952.01/x
  3. Step 3: Cross multiply
    9,848.52x = 14,765.48 × 5,952.01
  4. Step 4: Simplify right side
    9,848.52x = 87,884,284.61
  5. Step 5: Solve for x
    x = 87,884,284.61/9,848.52
  6. Step 6: Final answer
    x = 8,923.60

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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.