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Finding the Fourth Proportional to 9,646.42, 13,319.61 and 7,404.74

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Solution

The fourth proportional to 9,646.42, 13,319.61 and 7,404.74 is: 10,224.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,646.42 : 13,319.61 = 7,404.74 : x
  2. Step 2: Convert to fraction form
    9,646.42/13,319.61 = 7,404.74/x
  3. Step 3: Cross multiply
    9,646.42x = 13,319.61 × 7,404.74
  4. Step 4: Simplify right side
    9,646.42x = 98,628,248.95
  5. Step 5: Solve for x
    x = 98,628,248.95/9,646.42
  6. Step 6: Final answer
    x = 10,224.34

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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.