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Finding the Fourth Proportional to 9,513.78, 14,264.52 and 3,970.92

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Solution

The fourth proportional to 9,513.78, 14,264.52 and 3,970.92 is: 5,953.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,513.78 : 14,264.52 = 3,970.92 : x
  2. Step 2: Convert to fraction form
    9,513.78/14,264.52 = 3,970.92/x
  3. Step 3: Cross multiply
    9,513.78x = 14,264.52 × 3,970.92
  4. Step 4: Simplify right side
    9,513.78x = 56,643,267.76
  5. Step 5: Solve for x
    x = 56,643,267.76/9,513.78
  6. Step 6: Final answer
    x = 5,953.81

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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.