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Finding the Fourth Proportional to 9,788.60, 13,508.15 and 5,312.34

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Solution

The fourth proportional to 9,788.60, 13,508.15 and 5,312.34 is: 7,330.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,788.60 : 13,508.15 = 5,312.34 : x
  2. Step 2: Convert to fraction form
    9,788.60/13,508.15 = 5,312.34/x
  3. Step 3: Cross multiply
    9,788.60x = 13,508.15 × 5,312.34
  4. Step 4: Simplify right side
    9,788.60x = 71,759,885.57
  5. Step 5: Solve for x
    x = 71,759,885.57/9,788.60
  6. Step 6: Final answer
    x = 7,330.97

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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.