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Finding the Fourth Proportional to 9,152.32, 12,625.68 and 6,164.32

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Solution

The fourth proportional to 9,152.32, 12,625.68 and 6,164.32 is: 8,503.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,152.32 : 12,625.68 = 6,164.32 : x
  2. Step 2: Convert to fraction form
    9,152.32/12,625.68 = 6,164.32/x
  3. Step 3: Cross multiply
    9,152.32x = 12,625.68 × 6,164.32
  4. Step 4: Simplify right side
    9,152.32x = 77,828,731.74
  5. Step 5: Solve for x
    x = 77,828,731.74/9,152.32
  6. Step 6: Final answer
    x = 8,503.72

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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.