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Finding the Fourth Proportional to 9,646.16, 13,311.95 and 5,397.08

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Solution

The fourth proportional to 9,646.16, 13,311.95 and 5,397.08 is: 7,448.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,646.16 : 13,311.95 = 5,397.08 : x
  2. Step 2: Convert to fraction form
    9,646.16/13,311.95 = 5,397.08/x
  3. Step 3: Cross multiply
    9,646.16x = 13,311.95 × 5,397.08
  4. Step 4: Simplify right side
    9,646.16x = 71,845,659.11
  5. Step 5: Solve for x
    x = 71,845,659.11/9,646.16
  6. Step 6: Final answer
    x = 7,448.11

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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.