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Finding the Fourth Proportional to 9,646.70, 13,312.81 and 5,613.20

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Solution

The fourth proportional to 9,646.70, 13,312.81 and 5,613.20 is: 7,746.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,646.70 : 13,312.81 = 5,613.20 : x
  2. Step 2: Convert to fraction form
    9,646.70/13,312.81 = 5,613.20/x
  3. Step 3: Cross multiply
    9,646.70x = 13,312.81 × 5,613.20
  4. Step 4: Simplify right side
    9,646.70x = 74,727,423.89
  5. Step 5: Solve for x
    x = 74,727,423.89/9,646.70
  6. Step 6: Final answer
    x = 7,746.43

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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.