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Finding the Fourth Proportional to 9,767.84, 14,631.03 and 4,507.16

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Solution

The fourth proportional to 9,767.84, 14,631.03 and 4,507.16 is: 6,751.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,767.84 : 14,631.03 = 4,507.16 : x
  2. Step 2: Convert to fraction form
    9,767.84/14,631.03 = 4,507.16/x
  3. Step 3: Cross multiply
    9,767.84x = 14,631.03 × 4,507.16
  4. Step 4: Simplify right side
    9,767.84x = 65,944,320.02
  5. Step 5: Solve for x
    x = 65,944,320.02/9,767.84
  6. Step 6: Final answer
    x = 6,751.17

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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.