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Finding the Fourth Proportional to 9,303.32, 12,829.44 and 8,535

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Solution

The fourth proportional to 9,303.32, 12,829.44 and 8,535 is: 11,769.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,303.32 : 12,829.44 = 8,535 : x
  2. Step 2: Convert to fraction form
    9,303.32/12,829.44 = 8,535/x
  3. Step 3: Cross multiply
    9,303.32x = 12,829.44 × 8,535
  4. Step 4: Simplify right side
    9,303.32x = 109,499,270.40
  5. Step 5: Solve for x
    x = 109,499,270.40/9,303.32
  6. Step 6: Final answer
    x = 11,769.91

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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.