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Finding the Fourth Proportional to 9,810.64, 14,718.12 and 4,264.84

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Solution

The fourth proportional to 9,810.64, 14,718.12 and 4,264.84 is: 6,398.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,810.64 : 14,718.12 = 4,264.84 : x
  2. Step 2: Convert to fraction form
    9,810.64/14,718.12 = 4,264.84/x
  3. Step 3: Cross multiply
    9,810.64x = 14,718.12 × 4,264.84
  4. Step 4: Simplify right side
    9,810.64x = 62,770,426.90
  5. Step 5: Solve for x
    x = 62,770,426.90/9,810.64
  6. Step 6: Final answer
    x = 6,398.20

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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.