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Finding the Fourth Proportional to 9,705.71, 14,548.19 and 5,021.01

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Solution

The fourth proportional to 9,705.71, 14,548.19 and 5,021.01 is: 7,526.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,705.71 : 14,548.19 = 5,021.01 : x
  2. Step 2: Convert to fraction form
    9,705.71/14,548.19 = 5,021.01/x
  3. Step 3: Cross multiply
    9,705.71x = 14,548.19 × 5,021.01
  4. Step 4: Simplify right side
    9,705.71x = 73,046,607.47
  5. Step 5: Solve for x
    x = 73,046,607.47/9,705.71
  6. Step 6: Final answer
    x = 7,526.15

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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.