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Finding the Fourth Proportional to 9,977.04, 14,955.45 and 6,469.27

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Solution

The fourth proportional to 9,977.04, 14,955.45 and 6,469.27 is: 9,697.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,977.04 : 14,955.45 = 6,469.27 : x
  2. Step 2: Convert to fraction form
    9,977.04/14,955.45 = 6,469.27/x
  3. Step 3: Cross multiply
    9,977.04x = 14,955.45 × 6,469.27
  4. Step 4: Simplify right side
    9,977.04x = 96,750,886.98
  5. Step 5: Solve for x
    x = 96,750,886.98/9,977.04
  6. Step 6: Final answer
    x = 9,697.35

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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.