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Finding the Fourth Proportional to 9,980.57, 14,962.55 and 5,537.99

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Solution

The fourth proportional to 9,980.57, 14,962.55 and 5,537.99 is: 8,302.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,980.57 : 14,962.55 = 5,537.99 : x
  2. Step 2: Convert to fraction form
    9,980.57/14,962.55 = 5,537.99/x
  3. Step 3: Cross multiply
    9,980.57x = 14,962.55 × 5,537.99
  4. Step 4: Simplify right side
    9,980.57x = 82,862,349.77
  5. Step 5: Solve for x
    x = 82,862,349.77/9,980.57
  6. Step 6: Final answer
    x = 8,302.37

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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.