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Finding the Fourth Proportional to 9,730.63, 13,429.29 and 5,956.32

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Solution

The fourth proportional to 9,730.63, 13,429.29 and 5,956.32 is: 8,220.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,730.63 : 13,429.29 = 5,956.32 : x
  2. Step 2: Convert to fraction form
    9,730.63/13,429.29 = 5,956.32/x
  3. Step 3: Cross multiply
    9,730.63x = 13,429.29 × 5,956.32
  4. Step 4: Simplify right side
    9,730.63x = 79,989,148.61
  5. Step 5: Solve for x
    x = 79,989,148.61/9,730.63
  6. Step 6: Final answer
    x = 8,220.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.