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Finding the Fourth Proportional to 7,018.96, 9,686.14 and 3,875.13

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Solution

The fourth proportional to 7,018.96, 9,686.14 and 3,875.13 is: 5,347.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,018.96 : 9,686.14 = 3,875.13 : x
  2. Step 2: Convert to fraction form
    7,018.96/9,686.14 = 3,875.13/x
  3. Step 3: Cross multiply
    7,018.96x = 9,686.14 × 3,875.13
  4. Step 4: Simplify right side
    7,018.96x = 37,535,051.70
  5. Step 5: Solve for x
    x = 37,535,051.70/7,018.96
  6. Step 6: Final answer
    x = 5,347.67

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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.