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Finding the Fourth Proportional to 9,868.60, 13,613.91 and 7,175.64

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Solution

The fourth proportional to 9,868.60, 13,613.91 and 7,175.64 is: 9,898.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,868.60 : 13,613.91 = 7,175.64 : x
  2. Step 2: Convert to fraction form
    9,868.60/13,613.91 = 7,175.64/x
  3. Step 3: Cross multiply
    9,868.60x = 13,613.91 × 7,175.64
  4. Step 4: Simplify right side
    9,868.60x = 97,688,581.66
  5. Step 5: Solve for x
    x = 97,688,581.66/9,868.60
  6. Step 6: Final answer
    x = 9,898.93

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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.