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Finding the Fourth Proportional to 9,916.44, 14,873.04 and 3,342.48

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Solution

The fourth proportional to 9,916.44, 14,873.04 and 3,342.48 is: 5,013.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,916.44 : 14,873.04 = 3,342.48 : x
  2. Step 2: Convert to fraction form
    9,916.44/14,873.04 = 3,342.48/x
  3. Step 3: Cross multiply
    9,916.44x = 14,873.04 × 3,342.48
  4. Step 4: Simplify right side
    9,916.44x = 49,712,838.74
  5. Step 5: Solve for x
    x = 49,712,838.74/9,916.44
  6. Step 6: Final answer
    x = 5,013.17

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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.