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Finding the Fourth Proportional to 9,772.40, 14,663.46 and 4,578.68

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Solution

The fourth proportional to 9,772.40, 14,663.46 and 4,578.68 is: 6,870.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,772.40 : 14,663.46 = 4,578.68 : x
  2. Step 2: Convert to fraction form
    9,772.40/14,663.46 = 4,578.68/x
  3. Step 3: Cross multiply
    9,772.40x = 14,663.46 × 4,578.68
  4. Step 4: Simplify right side
    9,772.40x = 67,139,291.03
  5. Step 5: Solve for x
    x = 67,139,291.03/9,772.40
  6. Step 6: Final answer
    x = 6,870.30

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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.