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Finding the Fourth Proportional to 9,347.52, 14,038.56 and 7,412.16

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Solution

The fourth proportional to 9,347.52, 14,038.56 and 7,412.16 is: 11,131.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,347.52 : 14,038.56 = 7,412.16 : x
  2. Step 2: Convert to fraction form
    9,347.52/14,038.56 = 7,412.16/x
  3. Step 3: Cross multiply
    9,347.52x = 14,038.56 × 7,412.16
  4. Step 4: Simplify right side
    9,347.52x = 104,056,052.89
  5. Step 5: Solve for x
    x = 104,056,052.89/9,347.52
  6. Step 6: Final answer
    x = 11,131.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.