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Finding the Fourth Proportional to 9,788.42, 13,508.07 and 5,312.36

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Solution

The fourth proportional to 9,788.42, 13,508.07 and 5,312.36 is: 7,331.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,788.42 : 13,508.07 = 5,312.36 : x
  2. Step 2: Convert to fraction form
    9,788.42/13,508.07 = 5,312.36/x
  3. Step 3: Cross multiply
    9,788.42x = 13,508.07 × 5,312.36
  4. Step 4: Simplify right side
    9,788.42x = 71,759,730.75
  5. Step 5: Solve for x
    x = 71,759,730.75/9,788.42
  6. Step 6: Final answer
    x = 7,331.08

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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.