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Finding the Fourth Proportional to 7,143.40, 9,859.06 and 4,271.94

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Solution

The fourth proportional to 7,143.40, 9,859.06 and 4,271.94 is: 5,895.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,143.40 : 9,859.06 = 4,271.94 : x
  2. Step 2: Convert to fraction form
    7,143.40/9,859.06 = 4,271.94/x
  3. Step 3: Cross multiply
    7,143.40x = 9,859.06 × 4,271.94
  4. Step 4: Simplify right side
    7,143.40x = 42,117,312.78
  5. Step 5: Solve for x
    x = 42,117,312.78/7,143.40
  6. Step 6: Final answer
    x = 5,895.98

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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.