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Finding the Fourth Proportional to 9,666.25, 13,335.44 and 6,307.85

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Solution

The fourth proportional to 9,666.25, 13,335.44 and 6,307.85 is: 8,702.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,666.25 : 13,335.44 = 6,307.85 : x
  2. Step 2: Convert to fraction form
    9,666.25/13,335.44 = 6,307.85/x
  3. Step 3: Cross multiply
    9,666.25x = 13,335.44 × 6,307.85
  4. Step 4: Simplify right side
    9,666.25x = 84,117,957.00
  5. Step 5: Solve for x
    x = 84,117,957.00/9,666.25
  6. Step 6: Final answer
    x = 8,702.23

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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.