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Finding the Fourth Proportional to 9,047.42, 13,570.49 and 2,807.28

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Solution

The fourth proportional to 9,047.42, 13,570.49 and 2,807.28 is: 4,210.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,047.42 : 13,570.49 = 2,807.28 : x
  2. Step 2: Convert to fraction form
    9,047.42/13,570.49 = 2,807.28/x
  3. Step 3: Cross multiply
    9,047.42x = 13,570.49 × 2,807.28
  4. Step 4: Simplify right side
    9,047.42x = 38,096,165.17
  5. Step 5: Solve for x
    x = 38,096,165.17/9,047.42
  6. Step 6: Final answer
    x = 4,210.72

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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.