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Finding the Fourth Proportional to 9,821.12, 14,687.28 and 6,302.40

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Solution

The fourth proportional to 9,821.12, 14,687.28 and 6,302.40 is: 9,425.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,821.12 : 14,687.28 = 6,302.40 : x
  2. Step 2: Convert to fraction form
    9,821.12/14,687.28 = 6,302.40/x
  3. Step 3: Cross multiply
    9,821.12x = 14,687.28 × 6,302.40
  4. Step 4: Simplify right side
    9,821.12x = 92,565,113.47
  5. Step 5: Solve for x
    x = 92,565,113.47/9,821.12
  6. Step 6: Final answer
    x = 9,425.11

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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.