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Finding the Fourth Proportional to 9,156.72, 12,636.28 and 4,965

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Solution

The fourth proportional to 9,156.72, 12,636.28 and 4,965 is: 6,851.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,156.72 : 12,636.28 = 4,965 : x
  2. Step 2: Convert to fraction form
    9,156.72/12,636.28 = 4,965/x
  3. Step 3: Cross multiply
    9,156.72x = 12,636.28 × 4,965
  4. Step 4: Simplify right side
    9,156.72x = 62,739,130.20
  5. Step 5: Solve for x
    x = 62,739,130.20/9,156.72
  6. Step 6: Final answer
    x = 6,851.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.