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Finding the Fourth Proportional to 9,477.90, 13,080.69 and 5,498.16

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Solution

The fourth proportional to 9,477.90, 13,080.69 and 5,498.16 is: 7,588.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,477.90 : 13,080.69 = 5,498.16 : x
  2. Step 2: Convert to fraction form
    9,477.90/13,080.69 = 5,498.16/x
  3. Step 3: Cross multiply
    9,477.90x = 13,080.69 × 5,498.16
  4. Step 4: Simplify right side
    9,477.90x = 71,919,726.53
  5. Step 5: Solve for x
    x = 71,919,726.53/9,477.90
  6. Step 6: Final answer
    x = 7,588.15

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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.