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Finding the Fourth Proportional to 9,355.32, 12,904.74 and 6,834.35

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Solution

The fourth proportional to 9,355.32, 12,904.74 and 6,834.35 is: 9,427.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,355.32 : 12,904.74 = 6,834.35 : x
  2. Step 2: Convert to fraction form
    9,355.32/12,904.74 = 6,834.35/x
  3. Step 3: Cross multiply
    9,355.32x = 12,904.74 × 6,834.35
  4. Step 4: Simplify right side
    9,355.32x = 88,195,509.82
  5. Step 5: Solve for x
    x = 88,195,509.82/9,355.32
  6. Step 6: Final answer
    x = 9,427.31

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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.