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Finding the Fourth Proportional to 9,973.50, 14,966.94 and 6,278.28

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Solution

The fourth proportional to 9,973.50, 14,966.94 and 6,278.28 is: 9,421.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,973.50 : 14,966.94 = 6,278.28 : x
  2. Step 2: Convert to fraction form
    9,973.50/14,966.94 = 6,278.28/x
  3. Step 3: Cross multiply
    9,973.50x = 14,966.94 × 6,278.28
  4. Step 4: Simplify right side
    9,973.50x = 93,966,640.06
  5. Step 5: Solve for x
    x = 93,966,640.06/9,973.50
  6. Step 6: Final answer
    x = 9,421.63

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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.