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Finding the Fourth Proportional to 9,875.79, 14,814.45 and 3,302.01

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Solution

The fourth proportional to 9,875.79, 14,814.45 and 3,302.01 is: 4,953.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,875.79 : 14,814.45 = 3,302.01 : x
  2. Step 2: Convert to fraction form
    9,875.79/14,814.45 = 3,302.01/x
  3. Step 3: Cross multiply
    9,875.79x = 14,814.45 × 3,302.01
  4. Step 4: Simplify right side
    9,875.79x = 48,917,462.04
  5. Step 5: Solve for x
    x = 48,917,462.04/9,875.79
  6. Step 6: Final answer
    x = 4,953.27

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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.