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Finding the Fourth Proportional to 9,671.07, 13,353.62 and 7,429.40

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Solution

The fourth proportional to 9,671.07, 13,353.62 and 7,429.40 is: 10,258.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,671.07 : 13,353.62 = 7,429.40 : x
  2. Step 2: Convert to fraction form
    9,671.07/13,353.62 = 7,429.40/x
  3. Step 3: Cross multiply
    9,671.07x = 13,353.62 × 7,429.40
  4. Step 4: Simplify right side
    9,671.07x = 99,209,280.51
  5. Step 5: Solve for x
    x = 99,209,280.51/9,671.07
  6. Step 6: Final answer
    x = 10,258.36

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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.