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Finding the Fourth Proportional to 6,368.94, 9,549.70 and 1,925.28

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Solution

The fourth proportional to 6,368.94, 9,549.70 and 1,925.28 is: 2,886.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,368.94 : 9,549.70 = 1,925.28 : x
  2. Step 2: Convert to fraction form
    6,368.94/9,549.70 = 1,925.28/x
  3. Step 3: Cross multiply
    6,368.94x = 9,549.70 × 1,925.28
  4. Step 4: Simplify right side
    6,368.94x = 18,385,846.42
  5. Step 5: Solve for x
    x = 18,385,846.42/6,368.94
  6. Step 6: Final answer
    x = 2,886.80

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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.