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Finding the Fourth Proportional to 9,788.65, 13,508.34 and 5,312.47

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Solution

The fourth proportional to 9,788.65, 13,508.34 and 5,312.47 is: 7,331.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,788.65 : 13,508.34 = 5,312.47 : x
  2. Step 2: Convert to fraction form
    9,788.65/13,508.34 = 5,312.47/x
  3. Step 3: Cross multiply
    9,788.65x = 13,508.34 × 5,312.47
  4. Step 4: Simplify right side
    9,788.65x = 71,762,651.00
  5. Step 5: Solve for x
    x = 71,762,651.00/9,788.65
  6. Step 6: Final answer
    x = 7,331.21

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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.