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Finding the Fourth Proportional to 9,756, 13,464 and 6,030.72

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Solution

The fourth proportional to 9,756, 13,464 and 6,030.72 is: 8,322.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,756 : 13,464 = 6,030.72 : x
  2. Step 2: Convert to fraction form
    9,756/13,464 = 6,030.72/x
  3. Step 3: Cross multiply
    9,756x = 13,464 × 6,030.72
  4. Step 4: Simplify right side
    9,756x = 81,197,614.08
  5. Step 5: Solve for x
    x = 81,197,614.08/9,756
  6. Step 6: Final answer
    x = 8,322.84

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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.