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Finding the Fourth Proportional to 9,895.84, 14,842.50 and 4,348.12

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Solution

The fourth proportional to 9,895.84, 14,842.50 and 4,348.12 is: 6,521.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,895.84 : 14,842.50 = 4,348.12 : x
  2. Step 2: Convert to fraction form
    9,895.84/14,842.50 = 4,348.12/x
  3. Step 3: Cross multiply
    9,895.84x = 14,842.50 × 4,348.12
  4. Step 4: Simplify right side
    9,895.84x = 64,536,971.10
  5. Step 5: Solve for x
    x = 64,536,971.10/9,895.84
  6. Step 6: Final answer
    x = 6,521.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.