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Finding the Fourth Proportional to 9,038.61, 13,556.64 and 2,802.90

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Solution

The fourth proportional to 9,038.61, 13,556.64 and 2,802.90 is: 4,203.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,038.61 : 13,556.64 = 2,802.90 : x
  2. Step 2: Convert to fraction form
    9,038.61/13,556.64 = 2,802.90/x
  3. Step 3: Cross multiply
    9,038.61x = 13,556.64 × 2,802.90
  4. Step 4: Simplify right side
    9,038.61x = 37,997,906.26
  5. Step 5: Solve for x
    x = 37,997,906.26/9,038.61
  6. Step 6: Final answer
    x = 4,203.95

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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.