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Finding the Fourth Proportional to 9,402.21, 12,970.35 and 7,291.71

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Solution

The fourth proportional to 9,402.21, 12,970.35 and 7,291.71 is: 10,058.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,402.21 : 12,970.35 = 7,291.71 : x
  2. Step 2: Convert to fraction form
    9,402.21/12,970.35 = 7,291.71/x
  3. Step 3: Cross multiply
    9,402.21x = 12,970.35 × 7,291.71
  4. Step 4: Simplify right side
    9,402.21x = 94,576,030.80
  5. Step 5: Solve for x
    x = 94,576,030.80/9,402.21
  6. Step 6: Final answer
    x = 10,058.91

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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.