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Finding the Fourth Proportional to 9,829.01, 13,564.40 and 5,352.55

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Solution

The fourth proportional to 9,829.01, 13,564.40 and 5,352.55 is: 7,386.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,829.01 : 13,564.40 = 5,352.55 : x
  2. Step 2: Convert to fraction form
    9,829.01/13,564.40 = 5,352.55/x
  3. Step 3: Cross multiply
    9,829.01x = 13,564.40 × 5,352.55
  4. Step 4: Simplify right side
    9,829.01x = 72,604,068.55
  5. Step 5: Solve for x
    x = 72,604,068.55/9,829.01
  6. Step 6: Final answer
    x = 7,386.71

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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.