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Finding the Fourth Proportional to 9,702.01, 14,477.99 and 8,653.60

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Solution

The fourth proportional to 9,702.01, 14,477.99 and 8,653.60 is: 12,913.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,702.01 : 14,477.99 = 8,653.60 : x
  2. Step 2: Convert to fraction form
    9,702.01/14,477.99 = 8,653.60/x
  3. Step 3: Cross multiply
    9,702.01x = 14,477.99 × 8,653.60
  4. Step 4: Simplify right side
    9,702.01x = 125,286,734.26
  5. Step 5: Solve for x
    x = 125,286,734.26/9,702.01
  6. Step 6: Final answer
    x = 12,913.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.