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Finding the Fourth Proportional to 9,852.71, 14,774.96 and 4,916.46

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Solution

The fourth proportional to 9,852.71, 14,774.96 and 4,916.46 is: 7,372.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,852.71 : 14,774.96 = 4,916.46 : x
  2. Step 2: Convert to fraction form
    9,852.71/14,774.96 = 4,916.46/x
  3. Step 3: Cross multiply
    9,852.71x = 14,774.96 × 4,916.46
  4. Step 4: Simplify right side
    9,852.71x = 72,640,475.26
  5. Step 5: Solve for x
    x = 72,640,475.26/9,852.71
  6. Step 6: Final answer
    x = 7,372.64

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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.