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Finding the Fourth Proportional to 9,977.58, 14,952.33 and 7,776.54

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Solution

The fourth proportional to 9,977.58, 14,952.33 and 7,776.54 is: 11,653.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,977.58 : 14,952.33 = 7,776.54 : x
  2. Step 2: Convert to fraction form
    9,977.58/14,952.33 = 7,776.54/x
  3. Step 3: Cross multiply
    9,977.58x = 14,952.33 × 7,776.54
  4. Step 4: Simplify right side
    9,977.58x = 116,277,392.34
  5. Step 5: Solve for x
    x = 116,277,392.34/9,977.58
  6. Step 6: Final answer
    x = 11,653.87

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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.