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Finding the Fourth Proportional to 9,302.34, 12,838.10 and 5,111.40

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Solution

The fourth proportional to 9,302.34, 12,838.10 and 5,111.40 is: 7,054.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,302.34 : 12,838.10 = 5,111.40 : x
  2. Step 2: Convert to fraction form
    9,302.34/12,838.10 = 5,111.40/x
  3. Step 3: Cross multiply
    9,302.34x = 12,838.10 × 5,111.40
  4. Step 4: Simplify right side
    9,302.34x = 65,620,686.93
  5. Step 5: Solve for x
    x = 65,620,686.93/9,302.34
  6. Step 6: Final answer
    x = 7,054.21

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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.