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Finding the Fourth Proportional to 9,346.10, 12,897.52 and 5,368.46

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Solution

The fourth proportional to 9,346.10, 12,897.52 and 5,368.46 is: 7,408.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,346.10 : 12,897.52 = 5,368.46 : x
  2. Step 2: Convert to fraction form
    9,346.10/12,897.52 = 5,368.46/x
  3. Step 3: Cross multiply
    9,346.10x = 12,897.52 × 5,368.46
  4. Step 4: Simplify right side
    9,346.10x = 69,239,742.31
  5. Step 5: Solve for x
    x = 69,239,742.31/9,346.10
  6. Step 6: Final answer
    x = 7,408.41

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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.