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Finding the Fourth Proportional to 9,411.30, 14,133.15 and 6,657.30

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Solution

The fourth proportional to 9,411.30, 14,133.15 and 6,657.30 is: 9,997.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,411.30 : 14,133.15 = 6,657.30 : x
  2. Step 2: Convert to fraction form
    9,411.30/14,133.15 = 6,657.30/x
  3. Step 3: Cross multiply
    9,411.30x = 14,133.15 × 6,657.30
  4. Step 4: Simplify right side
    9,411.30x = 94,088,619.50
  5. Step 5: Solve for x
    x = 94,088,619.50/9,411.30
  6. Step 6: Final answer
    x = 9,997.41

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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.