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Finding the Fourth Proportional to 9,904.76, 14,847.40 and 4,714.28

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Solution

The fourth proportional to 9,904.76, 14,847.40 and 4,714.28 is: 7,066.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,904.76 : 14,847.40 = 4,714.28 : x
  2. Step 2: Convert to fraction form
    9,904.76/14,847.40 = 4,714.28/x
  3. Step 3: Cross multiply
    9,904.76x = 14,847.40 × 4,714.28
  4. Step 4: Simplify right side
    9,904.76x = 69,994,800.87
  5. Step 5: Solve for x
    x = 69,994,800.87/9,904.76
  6. Step 6: Final answer
    x = 7,066.78

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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.