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Finding the Fourth Proportional to 9,752.25, 14,638.92 and 4,832.30

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Solution

The fourth proportional to 9,752.25, 14,638.92 and 4,832.30 is: 7,253.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,752.25 : 14,638.92 = 4,832.30 : x
  2. Step 2: Convert to fraction form
    9,752.25/14,638.92 = 4,832.30/x
  3. Step 3: Cross multiply
    9,752.25x = 14,638.92 × 4,832.30
  4. Step 4: Simplify right side
    9,752.25x = 70,739,689.71
  5. Step 5: Solve for x
    x = 70,739,689.71/9,752.25
  6. Step 6: Final answer
    x = 7,253.68

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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.