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Finding the Fourth Proportional to 9,117.54, 12,580.98 and 5,138.34

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Solution

The fourth proportional to 9,117.54, 12,580.98 and 5,138.34 is: 7,090.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,117.54 : 12,580.98 = 5,138.34 : x
  2. Step 2: Convert to fraction form
    9,117.54/12,580.98 = 5,138.34/x
  3. Step 3: Cross multiply
    9,117.54x = 12,580.98 × 5,138.34
  4. Step 4: Simplify right side
    9,117.54x = 64,645,352.77
  5. Step 5: Solve for x
    x = 64,645,352.77/9,117.54
  6. Step 6: Final answer
    x = 7,090.22

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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.