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Finding the Fourth Proportional to 9,645.78, 14,461.65 and 6,518.01

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Solution

The fourth proportional to 9,645.78, 14,461.65 and 6,518.01 is: 9,772.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,645.78 : 14,461.65 = 6,518.01 : x
  2. Step 2: Convert to fraction form
    9,645.78/14,461.65 = 6,518.01/x
  3. Step 3: Cross multiply
    9,645.78x = 14,461.65 × 6,518.01
  4. Step 4: Simplify right side
    9,645.78x = 94,261,179.32
  5. Step 5: Solve for x
    x = 94,261,179.32/9,645.78
  6. Step 6: Final answer
    x = 9,772.27

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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.