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Finding the Fourth Proportional to 37,573.08, 56,362.82 and 9,871

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Solution

The fourth proportional to 37,573.08, 56,362.82 and 9,871 is: 14,807.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,573.08 : 56,362.82 = 9,871 : x
  2. Step 2: Convert to fraction form
    37,573.08/56,362.82 = 9,871/x
  3. Step 3: Cross multiply
    37,573.08x = 56,362.82 × 9,871
  4. Step 4: Simplify right side
    37,573.08x = 556,357,396.22
  5. Step 5: Solve for x
    x = 556,357,396.22/37,573.08
  6. Step 6: Final answer
    x = 14,807.34

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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.