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Finding the Fourth Proportional to 9,657.95, 14,487.00 and 3,418.00

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Solution

The fourth proportional to 9,657.95, 14,487.00 and 3,418.00 is: 5,127.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,657.95 : 14,487.00 = 3,418.00 : x
  2. Step 2: Convert to fraction form
    9,657.95/14,487.00 = 3,418.00/x
  3. Step 3: Cross multiply
    9,657.95x = 14,487.00 × 3,418.00
  4. Step 4: Simplify right side
    9,657.95x = 49,516,536.19
  5. Step 5: Solve for x
    x = 49,516,536.19/9,657.95
  6. Step 6: Final answer
    x = 5,127.02

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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.