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Finding the Fourth Proportional to 6,870.96, 9,472.78 and 5,459.34

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Solution

The fourth proportional to 6,870.96, 9,472.78 and 5,459.34 is: 7,526.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,870.96 : 9,472.78 = 5,459.34 : x
  2. Step 2: Convert to fraction form
    6,870.96/9,472.78 = 5,459.34/x
  3. Step 3: Cross multiply
    6,870.96x = 9,472.78 × 5,459.34
  4. Step 4: Simplify right side
    6,870.96x = 51,715,126.77
  5. Step 5: Solve for x
    x = 51,715,126.77/6,870.96
  6. Step 6: Final answer
    x = 7,526.62

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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.