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Finding the Fourth Proportional to 9,701.66, 14,552.08 and 2,776.16

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Solution

The fourth proportional to 9,701.66, 14,552.08 and 2,776.16 is: 4,164.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,701.66 : 14,552.08 = 2,776.16 : x
  2. Step 2: Convert to fraction form
    9,701.66/14,552.08 = 2,776.16/x
  3. Step 3: Cross multiply
    9,701.66x = 14,552.08 × 2,776.16
  4. Step 4: Simplify right side
    9,701.66x = 40,398,902.41
  5. Step 5: Solve for x
    x = 40,398,902.41/9,701.66
  6. Step 6: Final answer
    x = 4,164.12

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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.