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Finding the Fourth Proportional to 9,573.84, 14,364 and 5,673.60

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Solution

The fourth proportional to 9,573.84, 14,364 and 5,673.60 is: 8,512.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,573.84 : 14,364 = 5,673.60 : x
  2. Step 2: Convert to fraction form
    9,573.84/14,364 = 5,673.60/x
  3. Step 3: Cross multiply
    9,573.84x = 14,364 × 5,673.60
  4. Step 4: Simplify right side
    9,573.84x = 81,495,590.40
  5. Step 5: Solve for x
    x = 81,495,590.40/9,573.84
  6. Step 6: Final answer
    x = 8,512.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.