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Finding the Fourth Proportional to 9,748.92, 14,589.36 and 7,973.40

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Solution

The fourth proportional to 9,748.92, 14,589.36 and 7,973.40 is: 11,932.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,748.92 : 14,589.36 = 7,973.40 : x
  2. Step 2: Convert to fraction form
    9,748.92/14,589.36 = 7,973.40/x
  3. Step 3: Cross multiply
    9,748.92x = 14,589.36 × 7,973.40
  4. Step 4: Simplify right side
    9,748.92x = 116,326,803.02
  5. Step 5: Solve for x
    x = 116,326,803.02/9,748.92
  6. Step 6: Final answer
    x = 11,932.28

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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.