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Finding the Fourth Proportional to 9,646.16, 13,363.38 and 9,416.52

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Solution

The fourth proportional to 9,646.16, 13,363.38 and 9,416.52 is: 13,045.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,646.16 : 13,363.38 = 9,416.52 : x
  2. Step 2: Convert to fraction form
    9,646.16/13,363.38 = 9,416.52/x
  3. Step 3: Cross multiply
    9,646.16x = 13,363.38 × 9,416.52
  4. Step 4: Simplify right side
    9,646.16x = 125,836,535.04
  5. Step 5: Solve for x
    x = 125,836,535.04/9,646.16
  6. Step 6: Final answer
    x = 13,045.25

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.