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Finding the Fourth Proportional to 9,873.84, 14,798.00 and 7,389.16

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Solution

The fourth proportional to 9,873.84, 14,798.00 and 7,389.16 is: 11,074.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,873.84 : 14,798.00 = 7,389.16 : x
  2. Step 2: Convert to fraction form
    9,873.84/14,798.00 = 7,389.16/x
  3. Step 3: Cross multiply
    9,873.84x = 14,798.00 × 7,389.16
  4. Step 4: Simplify right side
    9,873.84x = 109,344,752.73
  5. Step 5: Solve for x
    x = 109,344,752.73/9,873.84
  6. Step 6: Final answer
    x = 11,074.19

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Why These Related Problems?

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