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Finding the Fourth Proportional to 9,701.16, 14,550.80 and 3,132.06

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Solution

The fourth proportional to 9,701.16, 14,550.80 and 3,132.06 is: 4,697.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,701.16 : 14,550.80 = 3,132.06 : x
  2. Step 2: Convert to fraction form
    9,701.16/14,550.80 = 3,132.06/x
  3. Step 3: Cross multiply
    9,701.16x = 14,550.80 × 3,132.06
  4. Step 4: Simplify right side
    9,701.16x = 45,573,962.99
  5. Step 5: Solve for x
    x = 45,573,962.99/9,701.16
  6. Step 6: Final answer
    x = 4,697.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.