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Finding the Fourth Proportional to 9,729.94, 14,598.35 and 4,803.04

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Solution

The fourth proportional to 9,729.94, 14,598.35 and 4,803.04 is: 7,206.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,729.94 : 14,598.35 = 4,803.04 : x
  2. Step 2: Convert to fraction form
    9,729.94/14,598.35 = 4,803.04/x
  3. Step 3: Cross multiply
    9,729.94x = 14,598.35 × 4,803.04
  4. Step 4: Simplify right side
    9,729.94x = 70,116,434.50
  5. Step 5: Solve for x
    x = 70,116,434.50/9,729.94
  6. Step 6: Final answer
    x = 7,206.26

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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.