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Finding the Fourth Proportional to 9,410.47, 14,118.05 and 6,642.54

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Solution

The fourth proportional to 9,410.47, 14,118.05 and 6,642.54 is: 9,965.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,410.47 : 14,118.05 = 6,642.54 : x
  2. Step 2: Convert to fraction form
    9,410.47/14,118.05 = 6,642.54/x
  3. Step 3: Cross multiply
    9,410.47x = 14,118.05 × 6,642.54
  4. Step 4: Simplify right side
    9,410.47x = 93,779,728.45
  5. Step 5: Solve for x
    x = 93,779,728.45/9,410.47
  6. Step 6: Final answer
    x = 9,965.47

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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.