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Finding the Fourth Proportional to 9,810.70, 13,534.82 and 6,032.66

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Solution

The fourth proportional to 9,810.70, 13,534.82 and 6,032.66 is: 8,322.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,810.70 : 13,534.82 = 6,032.66 : x
  2. Step 2: Convert to fraction form
    9,810.70/13,534.82 = 6,032.66/x
  3. Step 3: Cross multiply
    9,810.70x = 13,534.82 × 6,032.66
  4. Step 4: Simplify right side
    9,810.70x = 81,650,967.22
  5. Step 5: Solve for x
    x = 81,650,967.22/9,810.70
  6. Step 6: Final answer
    x = 8,322.64

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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.