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Finding the Fourth Proportional to 9,701.78, 14,552.61 and 2,776.28

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Solution

The fourth proportional to 9,701.78, 14,552.61 and 2,776.28 is: 4,164.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,701.78 : 14,552.61 = 2,776.28 : x
  2. Step 2: Convert to fraction form
    9,701.78/14,552.61 = 2,776.28/x
  3. Step 3: Cross multiply
    9,701.78x = 14,552.61 × 2,776.28
  4. Step 4: Simplify right side
    9,701.78x = 40,402,120.09
  5. Step 5: Solve for x
    x = 40,402,120.09/9,701.78
  6. Step 6: Final answer
    x = 4,164.40

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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.