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Finding the Fourth Proportional to 10,384.34, 15,572.86 and 6,429.51

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Solution

The fourth proportional to 10,384.34, 15,572.86 and 6,429.51 is: 9,642.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,384.34 : 15,572.86 = 6,429.51 : x
  2. Step 2: Convert to fraction form
    10,384.34/15,572.86 = 6,429.51/x
  3. Step 3: Cross multiply
    10,384.34x = 15,572.86 × 6,429.51
  4. Step 4: Simplify right side
    10,384.34x = 100,125,843.02
  5. Step 5: Solve for x
    x = 100,125,843.02/10,384.34
  6. Step 6: Final answer
    x = 9,642.01

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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.