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Finding the Fourth Proportional to 10,009.40, 13,812.96 and 6,030.68

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Solution

The fourth proportional to 10,009.40, 13,812.96 and 6,030.68 is: 8,322.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,009.40 : 13,812.96 = 6,030.68 : x
  2. Step 2: Convert to fraction form
    10,009.40/13,812.96 = 6,030.68/x
  3. Step 3: Cross multiply
    10,009.40x = 13,812.96 × 6,030.68
  4. Step 4: Simplify right side
    10,009.40x = 83,301,541.61
  5. Step 5: Solve for x
    x = 83,301,541.61/10,009.40
  6. Step 6: Final answer
    x = 8,322.33

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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.