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Finding the Fourth Proportional to 9,666.56, 14,488.77 and 4,461.50

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Solution

The fourth proportional to 9,666.56, 14,488.77 and 4,461.50 is: 6,687.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,666.56 : 14,488.77 = 4,461.50 : x
  2. Step 2: Convert to fraction form
    9,666.56/14,488.77 = 4,461.50/x
  3. Step 3: Cross multiply
    9,666.56x = 14,488.77 × 4,461.50
  4. Step 4: Simplify right side
    9,666.56x = 64,641,647.36
  5. Step 5: Solve for x
    x = 64,641,647.36/9,666.56
  6. Step 6: Final answer
    x = 6,687.14

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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.