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Finding the Fourth Proportional to 9,105.76, 13,646.40 and 4,714

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Solution

The fourth proportional to 9,105.76, 13,646.40 and 4,714 is: 7,064.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,105.76 : 13,646.40 = 4,714 : x
  2. Step 2: Convert to fraction form
    9,105.76/13,646.40 = 4,714/x
  3. Step 3: Cross multiply
    9,105.76x = 13,646.40 × 4,714
  4. Step 4: Simplify right side
    9,105.76x = 64,329,129.60
  5. Step 5: Solve for x
    x = 64,329,129.60/9,105.76
  6. Step 6: Final answer
    x = 7,064.66

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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.