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Finding the Fourth Proportional to 9,875.40, 14,823.90 and 6,181.80

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Solution

The fourth proportional to 9,875.40, 14,823.90 and 6,181.80 is: 9,279.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,875.40 : 14,823.90 = 6,181.80 : x
  2. Step 2: Convert to fraction form
    9,875.40/14,823.90 = 6,181.80/x
  3. Step 3: Cross multiply
    9,875.40x = 14,823.90 × 6,181.80
  4. Step 4: Simplify right side
    9,875.40x = 91,638,385.02
  5. Step 5: Solve for x
    x = 91,638,385.02/9,875.40
  6. Step 6: Final answer
    x = 9,279.46

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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.