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Finding the Fourth Proportional to 9,775.32, 14,656.02 and 4,578.36

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Solution

The fourth proportional to 9,775.32, 14,656.02 and 4,578.36 is: 6,864.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,775.32 : 14,656.02 = 4,578.36 : x
  2. Step 2: Convert to fraction form
    9,775.32/14,656.02 = 4,578.36/x
  3. Step 3: Cross multiply
    9,775.32x = 14,656.02 × 4,578.36
  4. Step 4: Simplify right side
    9,775.32x = 67,100,535.73
  5. Step 5: Solve for x
    x = 67,100,535.73/9,775.32
  6. Step 6: Final answer
    x = 6,864.28

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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.