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Finding the Fourth Proportional to 9,607.50, 14,416.92 and 4,060.50

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Solution

The fourth proportional to 9,607.50, 14,416.92 and 4,060.50 is: 6,093.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,607.50 : 14,416.92 = 4,060.50 : x
  2. Step 2: Convert to fraction form
    9,607.50/14,416.92 = 4,060.50/x
  3. Step 3: Cross multiply
    9,607.50x = 14,416.92 × 4,060.50
  4. Step 4: Simplify right side
    9,607.50x = 58,539,903.66
  5. Step 5: Solve for x
    x = 58,539,903.66/9,607.50
  6. Step 6: Final answer
    x = 6,093.15

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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.