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Finding the Fourth Proportional to 9,461.58, 13,058.28 and 5,735.58

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Solution

The fourth proportional to 9,461.58, 13,058.28 and 5,735.58 is: 7,915.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,461.58 : 13,058.28 = 5,735.58 : x
  2. Step 2: Convert to fraction form
    9,461.58/13,058.28 = 5,735.58/x
  3. Step 3: Cross multiply
    9,461.58x = 13,058.28 × 5,735.58
  4. Step 4: Simplify right side
    9,461.58x = 74,896,809.60
  5. Step 5: Solve for x
    x = 74,896,809.60/9,461.58
  6. Step 6: Final answer
    x = 7,915.89

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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.