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Finding the Fourth Proportional to 9,812.31, 13,534.02 and 6,030.51

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Solution

The fourth proportional to 9,812.31, 13,534.02 and 6,030.51 is: 8,317.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,812.31 : 13,534.02 = 6,030.51 : x
  2. Step 2: Convert to fraction form
    9,812.31/13,534.02 = 6,030.51/x
  3. Step 3: Cross multiply
    9,812.31x = 13,534.02 × 6,030.51
  4. Step 4: Simplify right side
    9,812.31x = 81,617,055.70
  5. Step 5: Solve for x
    x = 81,617,055.70/9,812.31
  6. Step 6: Final answer
    x = 8,317.82

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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.