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Finding the Fourth Proportional to 9,468.84, 14,210.60 and 7,624.47

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Solution

The fourth proportional to 9,468.84, 14,210.60 and 7,624.47 is: 11,442.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,468.84 : 14,210.60 = 7,624.47 : x
  2. Step 2: Convert to fraction form
    9,468.84/14,210.60 = 7,624.47/x
  3. Step 3: Cross multiply
    9,468.84x = 14,210.60 × 7,624.47
  4. Step 4: Simplify right side
    9,468.84x = 108,348,255.26
  5. Step 5: Solve for x
    x = 108,348,255.26/9,468.84
  6. Step 6: Final answer
    x = 11,442.61

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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.