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Finding the Fourth Proportional to 9,977.78, 14,980.34 and 6,269.00

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Solution

The fourth proportional to 9,977.78, 14,980.34 and 6,269.00 is: 9,412.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,977.78 : 14,980.34 = 6,269.00 : x
  2. Step 2: Convert to fraction form
    9,977.78/14,980.34 = 6,269.00/x
  3. Step 3: Cross multiply
    9,977.78x = 14,980.34 × 6,269.00
  4. Step 4: Simplify right side
    9,977.78x = 93,911,692.23
  5. Step 5: Solve for x
    x = 93,911,692.23/9,977.78
  6. Step 6: Final answer
    x = 9,412.08

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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.