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Finding the Fourth Proportional to 9,409.66, 12,987.35 and 5,633.66

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Solution

The fourth proportional to 9,409.66, 12,987.35 and 5,633.66 is: 7,775.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,409.66 : 12,987.35 = 5,633.66 : x
  2. Step 2: Convert to fraction form
    9,409.66/12,987.35 = 5,633.66/x
  3. Step 3: Cross multiply
    9,409.66x = 12,987.35 × 5,633.66
  4. Step 4: Simplify right side
    9,409.66x = 73,166,314.20
  5. Step 5: Solve for x
    x = 73,166,314.20/9,409.66
  6. Step 6: Final answer
    x = 7,775.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.