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Finding the Fourth Proportional to 9,410.64, 14,118.60 and 4,725

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Solution

The fourth proportional to 9,410.64, 14,118.60 and 4,725 is: 7,088.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,410.64 : 14,118.60 = 4,725 : x
  2. Step 2: Convert to fraction form
    9,410.64/14,118.60 = 4,725/x
  3. Step 3: Cross multiply
    9,410.64x = 14,118.60 × 4,725
  4. Step 4: Simplify right side
    9,410.64x = 66,710,385
  5. Step 5: Solve for x
    x = 66,710,385/9,410.64
  6. Step 6: Final answer
    x = 7,088.83

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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.