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Finding the Fourth Proportional to 7,062.54, 9,746.30 and 3,875.86

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Solution

The fourth proportional to 7,062.54, 9,746.30 and 3,875.86 is: 5,348.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,062.54 : 9,746.30 = 3,875.86 : x
  2. Step 2: Convert to fraction form
    7,062.54/9,746.30 = 3,875.86/x
  3. Step 3: Cross multiply
    7,062.54x = 9,746.30 × 3,875.86
  4. Step 4: Simplify right side
    7,062.54x = 37,775,226.21
  5. Step 5: Solve for x
    x = 37,775,226.21/7,062.54
  6. Step 6: Final answer
    x = 5,348.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.