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Finding the Fourth Proportional to 9,667.13, 14,502.51 and 4,473

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Solution

The fourth proportional to 9,667.13, 14,502.51 and 4,473 is: 6,710.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,667.13 : 14,502.51 = 4,473 : x
  2. Step 2: Convert to fraction form
    9,667.13/14,502.51 = 4,473/x
  3. Step 3: Cross multiply
    9,667.13x = 14,502.51 × 4,473
  4. Step 4: Simplify right side
    9,667.13x = 64,869,727.23
  5. Step 5: Solve for x
    x = 64,869,727.23/9,667.13
  6. Step 6: Final answer
    x = 6,710.34

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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.