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Finding the Fourth Proportional to 9,419.29, 12,973.65 and 7,021.58

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Solution

The fourth proportional to 9,419.29, 12,973.65 and 7,021.58 is: 9,671.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,419.29 : 12,973.65 = 7,021.58 : x
  2. Step 2: Convert to fraction form
    9,419.29/12,973.65 = 7,021.58/x
  3. Step 3: Cross multiply
    9,419.29x = 12,973.65 × 7,021.58
  4. Step 4: Simplify right side
    9,419.29x = 91,095,456.50
  5. Step 5: Solve for x
    x = 91,095,456.50/9,419.29
  6. Step 6: Final answer
    x = 9,671.16

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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.