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Finding the Fourth Proportional to 9,008.01, 13,478.40 and 5,802.64

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Solution

The fourth proportional to 9,008.01, 13,478.40 and 5,802.64 is: 8,682.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,008.01 : 13,478.40 = 5,802.64 : x
  2. Step 2: Convert to fraction form
    9,008.01/13,478.40 = 5,802.64/x
  3. Step 3: Cross multiply
    9,008.01x = 13,478.40 × 5,802.64
  4. Step 4: Simplify right side
    9,008.01x = 78,210,269.28
  5. Step 5: Solve for x
    x = 78,210,269.28/9,008.01
  6. Step 6: Final answer
    x = 8,682.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.