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Finding the Fourth Proportional to 9,156.59, 13,716.69 and 4,462.91

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Solution

The fourth proportional to 9,156.59, 13,716.69 and 4,462.91 is: 6,685.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,156.59 : 13,716.69 = 4,462.91 : x
  2. Step 2: Convert to fraction form
    9,156.59/13,716.69 = 4,462.91/x
  3. Step 3: Cross multiply
    9,156.59x = 13,716.69 × 4,462.91
  4. Step 4: Simplify right side
    9,156.59x = 61,216,387.26
  5. Step 5: Solve for x
    x = 61,216,387.26/9,156.59
  6. Step 6: Final answer
    x = 6,685.50

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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.