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Finding the Fourth Proportional to 6,870.59, 9,475.47 and 4,349.87

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Solution

The fourth proportional to 6,870.59, 9,475.47 and 4,349.87 is: 5,999.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,870.59 : 9,475.47 = 4,349.87 : x
  2. Step 2: Convert to fraction form
    6,870.59/9,475.47 = 4,349.87/x
  3. Step 3: Cross multiply
    6,870.59x = 9,475.47 × 4,349.87
  4. Step 4: Simplify right side
    6,870.59x = 41,217,062.69
  5. Step 5: Solve for x
    x = 41,217,062.69/6,870.59
  6. Step 6: Final answer
    x = 5,999.06

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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.