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Finding the Fourth Proportional to 9,302.40, 12,838.08 and 5,111.20

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Solution

The fourth proportional to 9,302.40, 12,838.08 and 5,111.20 is: 7,053.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,302.40 : 12,838.08 = 5,111.20 : x
  2. Step 2: Convert to fraction form
    9,302.40/12,838.08 = 5,111.20/x
  3. Step 3: Cross multiply
    9,302.40x = 12,838.08 × 5,111.20
  4. Step 4: Simplify right side
    9,302.40x = 65,617,994.50
  5. Step 5: Solve for x
    x = 65,617,994.50/9,302.40
  6. Step 6: Final answer
    x = 7,053.88

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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.