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Finding the Fourth Proportional to 37,570.08, 56,358.32 and 9,868

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Solution

The fourth proportional to 37,570.08, 56,358.32 and 9,868 is: 14,802.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,570.08 : 56,358.32 = 9,868 : x
  2. Step 2: Convert to fraction form
    37,570.08/56,358.32 = 9,868/x
  3. Step 3: Cross multiply
    37,570.08x = 56,358.32 × 9,868
  4. Step 4: Simplify right side
    37,570.08x = 556,143,901.76
  5. Step 5: Solve for x
    x = 556,143,901.76/37,570.08
  6. Step 6: Final answer
    x = 14,802.84

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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.