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Finding the Fourth Proportional to 9,652.12, 14,483.88 and 4,106.60

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Solution

The fourth proportional to 9,652.12, 14,483.88 and 4,106.60 is: 6,162.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,652.12 : 14,483.88 = 4,106.60 : x
  2. Step 2: Convert to fraction form
    9,652.12/14,483.88 = 4,106.60/x
  3. Step 3: Cross multiply
    9,652.12x = 14,483.88 × 4,106.60
  4. Step 4: Simplify right side
    9,652.12x = 59,479,501.61
  5. Step 5: Solve for x
    x = 59,479,501.61/9,652.12
  6. Step 6: Final answer
    x = 6,162.33

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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.