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Finding the Fourth Proportional to 9,648.40, 14,474.88 and 7,681.47

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Solution

The fourth proportional to 9,648.40, 14,474.88 and 7,681.47 is: 11,524.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,648.40 : 14,474.88 = 7,681.47 : x
  2. Step 2: Convert to fraction form
    9,648.40/14,474.88 = 7,681.47/x
  3. Step 3: Cross multiply
    9,648.40x = 14,474.88 × 7,681.47
  4. Step 4: Simplify right side
    9,648.40x = 111,188,280.59
  5. Step 5: Solve for x
    x = 111,188,280.59/9,648.40
  6. Step 6: Final answer
    x = 11,524.01

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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.