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Finding the Fourth Proportional to 9,096.40, 13,646.13 and 4,655.99

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Solution

The fourth proportional to 9,096.40, 13,646.13 and 4,655.99 is: 6,984.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,096.40 : 13,646.13 = 4,655.99 : x
  2. Step 2: Convert to fraction form
    9,096.40/13,646.13 = 4,655.99/x
  3. Step 3: Cross multiply
    9,096.40x = 13,646.13 × 4,655.99
  4. Step 4: Simplify right side
    9,096.40x = 63,536,244.82
  5. Step 5: Solve for x
    x = 63,536,244.82/9,096.40
  6. Step 6: Final answer
    x = 6,984.77

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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.