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Finding the Fourth Proportional to 9,655.88, 14,508.02 and 6,147.40

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Solution

The fourth proportional to 9,655.88, 14,508.02 and 6,147.40 is: 9,236.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,655.88 : 14,508.02 = 6,147.40 : x
  2. Step 2: Convert to fraction form
    9,655.88/14,508.02 = 6,147.40/x
  3. Step 3: Cross multiply
    9,655.88x = 14,508.02 × 6,147.40
  4. Step 4: Simplify right side
    9,655.88x = 89,186,602.15
  5. Step 5: Solve for x
    x = 89,186,602.15/9,655.88
  6. Step 6: Final answer
    x = 9,236.51

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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.