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Finding the Fourth Proportional to 9,605.76, 14,411.16 and 4,056

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Solution

The fourth proportional to 9,605.76, 14,411.16 and 4,056 is: 6,085.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,605.76 : 14,411.16 = 4,056 : x
  2. Step 2: Convert to fraction form
    9,605.76/14,411.16 = 4,056/x
  3. Step 3: Cross multiply
    9,605.76x = 14,411.16 × 4,056
  4. Step 4: Simplify right side
    9,605.76x = 58,451,664.96
  5. Step 5: Solve for x
    x = 58,451,664.96/9,605.76
  6. Step 6: Final answer
    x = 6,085.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.