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Finding the Fourth Proportional to 9,758.52, 14,652.36 and 9,612.72

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Solution

The fourth proportional to 9,758.52, 14,652.36 and 9,612.72 is: 14,433.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,758.52 : 14,652.36 = 9,612.72 : x
  2. Step 2: Convert to fraction form
    9,758.52/14,652.36 = 9,612.72/x
  3. Step 3: Cross multiply
    9,758.52x = 14,652.36 × 9,612.72
  4. Step 4: Simplify right side
    9,758.52x = 140,849,034.02
  5. Step 5: Solve for x
    x = 140,849,034.02/9,758.52
  6. Step 6: Final answer
    x = 14,433.44

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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.