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Finding the Fourth Proportional to 12,969.51, 17,897.54 and 9,447.63

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Solution

The fourth proportional to 12,969.51, 17,897.54 and 9,447.63 is: 13,037.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,969.51 : 17,897.54 = 9,447.63 : x
  2. Step 2: Convert to fraction form
    12,969.51/17,897.54 = 9,447.63/x
  3. Step 3: Cross multiply
    12,969.51x = 17,897.54 × 9,447.63
  4. Step 4: Simplify right side
    12,969.51x = 169,089,288.59
  5. Step 5: Solve for x
    x = 169,089,288.59/12,969.51
  6. Step 6: Final answer
    x = 13,037.45

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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.