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Finding the Fourth Proportional to 9,417.87, 13,000.70 and 6,232.65

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Solution

The fourth proportional to 9,417.87, 13,000.70 and 6,232.65 is: 8,603.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,417.87 : 13,000.70 = 6,232.65 : x
  2. Step 2: Convert to fraction form
    9,417.87/13,000.70 = 6,232.65/x
  3. Step 3: Cross multiply
    9,417.87x = 13,000.70 × 6,232.65
  4. Step 4: Simplify right side
    9,417.87x = 81,028,779.68
  5. Step 5: Solve for x
    x = 81,028,779.68/9,417.87
  6. Step 6: Final answer
    x = 8,603.73

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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.