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Finding the Fourth Proportional to 9,894, 14,828.04 and 5,513.52

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Solution

The fourth proportional to 9,894, 14,828.04 and 5,513.52 is: 8,263.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,894 : 14,828.04 = 5,513.52 : x
  2. Step 2: Convert to fraction form
    9,894/14,828.04 = 5,513.52/x
  3. Step 3: Cross multiply
    9,894x = 14,828.04 × 5,513.52
  4. Step 4: Simplify right side
    9,894x = 81,754,695.10
  5. Step 5: Solve for x
    x = 81,754,695.10/9,894
  6. Step 6: Final answer
    x = 8,263.06

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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.