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Finding the Fourth Proportional to 9,349.10, 12,901.78 and 5,100.17

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Solution

The fourth proportional to 9,349.10, 12,901.78 and 5,100.17 is: 7,038.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,349.10 : 12,901.78 = 5,100.17 : x
  2. Step 2: Convert to fraction form
    9,349.10/12,901.78 = 5,100.17/x
  3. Step 3: Cross multiply
    9,349.10x = 12,901.78 × 5,100.17
  4. Step 4: Simplify right side
    9,349.10x = 65,801,271.30
  5. Step 5: Solve for x
    x = 65,801,271.30/9,349.10
  6. Step 6: Final answer
    x = 7,038.25

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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.