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Finding the Fourth Proportional to 9,916.84, 14,875.26 and 4,071.88

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Solution

The fourth proportional to 9,916.84, 14,875.26 and 4,071.88 is: 6,107.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,916.84 : 14,875.26 = 4,071.88 : x
  2. Step 2: Convert to fraction form
    9,916.84/14,875.26 = 4,071.88/x
  3. Step 3: Cross multiply
    9,916.84x = 14,875.26 × 4,071.88
  4. Step 4: Simplify right side
    9,916.84x = 60,570,273.69
  5. Step 5: Solve for x
    x = 60,570,273.69/9,916.84
  6. Step 6: Final answer
    x = 6,107.82

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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.