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Finding the Fourth Proportional to 9,756.77, 14,639.82 and 9,345.45

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Solution

The fourth proportional to 9,756.77, 14,639.82 and 9,345.45 is: 14,022.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,756.77 : 14,639.82 = 9,345.45 : x
  2. Step 2: Convert to fraction form
    9,756.77/14,639.82 = 9,345.45/x
  3. Step 3: Cross multiply
    9,756.77x = 14,639.82 × 9,345.45
  4. Step 4: Simplify right side
    9,756.77x = 136,815,705.82
  5. Step 5: Solve for x
    x = 136,815,705.82/9,756.77
  6. Step 6: Final answer
    x = 14,022.64

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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.