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Finding the Fourth Proportional to 9,739.66, 14,605.16 and 6,041.74

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Solution

The fourth proportional to 9,739.66, 14,605.16 and 6,041.74 is: 9,059.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,739.66 : 14,605.16 = 6,041.74 : x
  2. Step 2: Convert to fraction form
    9,739.66/14,605.16 = 6,041.74/x
  3. Step 3: Cross multiply
    9,739.66x = 14,605.16 × 6,041.74
  4. Step 4: Simplify right side
    9,739.66x = 88,240,579.38
  5. Step 5: Solve for x
    x = 88,240,579.38/9,739.66
  6. Step 6: Final answer
    x = 9,059.92

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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.