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Finding the Fourth Proportional to 9,648.58, 14,461.70 and 4,443.52

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Solution

The fourth proportional to 9,648.58, 14,461.70 and 4,443.52 is: 6,660.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,648.58 : 14,461.70 = 4,443.52 : x
  2. Step 2: Convert to fraction form
    9,648.58/14,461.70 = 4,443.52/x
  3. Step 3: Cross multiply
    9,648.58x = 14,461.70 × 4,443.52
  4. Step 4: Simplify right side
    9,648.58x = 64,260,853.18
  5. Step 5: Solve for x
    x = 64,260,853.18/9,648.58
  6. Step 6: Final answer
    x = 6,660.14

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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.