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Finding the Fourth Proportional to 12,347.02, 17,046.64 and 9,509.05

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Solution

The fourth proportional to 12,347.02, 17,046.64 and 9,509.05 is: 13,128.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,347.02 : 17,046.64 = 9,509.05 : x
  2. Step 2: Convert to fraction form
    12,347.02/17,046.64 = 9,509.05/x
  3. Step 3: Cross multiply
    12,347.02x = 17,046.64 × 9,509.05
  4. Step 4: Simplify right side
    12,347.02x = 162,097,276.03
  5. Step 5: Solve for x
    x = 162,097,276.03/12,347.02
  6. Step 6: Final answer
    x = 13,128.45

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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.