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Finding the Fourth Proportional to 9,608.76, 14,407.92 and 4,410

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Solution

The fourth proportional to 9,608.76, 14,407.92 and 4,410 is: 6,612.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,608.76 : 14,407.92 = 4,410 : x
  2. Step 2: Convert to fraction form
    9,608.76/14,407.92 = 4,410/x
  3. Step 3: Cross multiply
    9,608.76x = 14,407.92 × 4,410
  4. Step 4: Simplify right side
    9,608.76x = 63,538,927.20
  5. Step 5: Solve for x
    x = 63,538,927.20/9,608.76
  6. Step 6: Final answer
    x = 6,612.60

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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.