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Finding the Fourth Proportional to 8,970.30, 12,376.71 and 5,432.82

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Solution

The fourth proportional to 8,970.30, 12,376.71 and 5,432.82 is: 7,495.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,970.30 : 12,376.71 = 5,432.82 : x
  2. Step 2: Convert to fraction form
    8,970.30/12,376.71 = 5,432.82/x
  3. Step 3: Cross multiply
    8,970.30x = 12,376.71 × 5,432.82
  4. Step 4: Simplify right side
    8,970.30x = 67,240,437.62
  5. Step 5: Solve for x
    x = 67,240,437.62/8,970.30
  6. Step 6: Final answer
    x = 7,495.90

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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.