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Finding the Fourth Proportional to 9,564.76, 14,368.74 and 5,671.72

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Solution

The fourth proportional to 9,564.76, 14,368.74 and 5,671.72 is: 8,520.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,564.76 : 14,368.74 = 5,671.72 : x
  2. Step 2: Convert to fraction form
    9,564.76/14,368.74 = 5,671.72/x
  3. Step 3: Cross multiply
    9,564.76x = 14,368.74 × 5,671.72
  4. Step 4: Simplify right side
    9,564.76x = 81,495,470.03
  5. Step 5: Solve for x
    x = 81,495,470.03/9,564.76
  6. Step 6: Final answer
    x = 8,520.39

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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.