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Finding the Fourth Proportional to 10,271.02, 15,325.85 and 9,644.08

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Solution

The fourth proportional to 10,271.02, 15,325.85 and 9,644.08 is: 14,390.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,271.02 : 15,325.85 = 9,644.08 : x
  2. Step 2: Convert to fraction form
    10,271.02/15,325.85 = 9,644.08/x
  3. Step 3: Cross multiply
    10,271.02x = 15,325.85 × 9,644.08
  4. Step 4: Simplify right side
    10,271.02x = 147,803,723.47
  5. Step 5: Solve for x
    x = 147,803,723.47/10,271.02
  6. Step 6: Final answer
    x = 14,390.36

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.