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Finding the Fourth Proportional to 7,156.84, 9,875.82 and 4,172.95

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Solution

The fourth proportional to 7,156.84, 9,875.82 and 4,172.95 is: 5,758.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,156.84 : 9,875.82 = 4,172.95 : x
  2. Step 2: Convert to fraction form
    7,156.84/9,875.82 = 4,172.95/x
  3. Step 3: Cross multiply
    7,156.84x = 9,875.82 × 4,172.95
  4. Step 4: Simplify right side
    7,156.84x = 41,211,331.06
  5. Step 5: Solve for x
    x = 41,211,331.06/7,156.84
  6. Step 6: Final answer
    x = 5,758.31

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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.