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Finding the Fourth Proportional to 9,788.57, 13,508.23 and 5,312.32

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Solution

The fourth proportional to 9,788.57, 13,508.23 and 5,312.32 is: 7,331.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,788.57 : 13,508.23 = 5,312.32 : x
  2. Step 2: Convert to fraction form
    9,788.57/13,508.23 = 5,312.32/x
  3. Step 3: Cross multiply
    9,788.57x = 13,508.23 × 5,312.32
  4. Step 4: Simplify right side
    9,788.57x = 71,760,050.47
  5. Step 5: Solve for x
    x = 71,760,050.47/9,788.57
  6. Step 6: Final answer
    x = 7,331.00

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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.