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Finding the Fourth Proportional to 8,601.84, 12,897.72 and 6,152.40

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Solution

The fourth proportional to 8,601.84, 12,897.72 and 6,152.40 is: 9,225.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,601.84 : 12,897.72 = 6,152.40 : x
  2. Step 2: Convert to fraction form
    8,601.84/12,897.72 = 6,152.40/x
  3. Step 3: Cross multiply
    8,601.84x = 12,897.72 × 6,152.40
  4. Step 4: Simplify right side
    8,601.84x = 79,351,932.53
  5. Step 5: Solve for x
    x = 79,351,932.53/8,601.84
  6. Step 6: Final answer
    x = 9,225.00

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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.