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Finding the Fourth Proportional to 9,695.32, 14,543.07 and 6,235

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Solution

The fourth proportional to 9,695.32, 14,543.07 and 6,235 is: 9,352.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,695.32 : 14,543.07 = 6,235 : x
  2. Step 2: Convert to fraction form
    9,695.32/14,543.07 = 6,235/x
  3. Step 3: Cross multiply
    9,695.32x = 14,543.07 × 6,235
  4. Step 4: Simplify right side
    9,695.32x = 90,676,041.45
  5. Step 5: Solve for x
    x = 90,676,041.45/9,695.32
  6. Step 6: Final answer
    x = 9,352.56

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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.