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Finding the Fourth Proportional to 9,810.76, 13,532.82 and 5,829.16

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Solution

The fourth proportional to 9,810.76, 13,532.82 and 5,829.16 is: 8,040.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,810.76 : 13,532.82 = 5,829.16 : x
  2. Step 2: Convert to fraction form
    9,810.76/13,532.82 = 5,829.16/x
  3. Step 3: Cross multiply
    9,810.76x = 13,532.82 × 5,829.16
  4. Step 4: Simplify right side
    9,810.76x = 78,884,973.03
  5. Step 5: Solve for x
    x = 78,884,973.03/9,810.76
  6. Step 6: Final answer
    x = 8,040.66

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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.