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Finding the Fourth Proportional to 9,417.60, 14,128.32 and 5,952

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Solution

The fourth proportional to 9,417.60, 14,128.32 and 5,952 is: 8,929.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,417.60 : 14,128.32 = 5,952 : x
  2. Step 2: Convert to fraction form
    9,417.60/14,128.32 = 5,952/x
  3. Step 3: Cross multiply
    9,417.60x = 14,128.32 × 5,952
  4. Step 4: Simplify right side
    9,417.60x = 84,091,760.64
  5. Step 5: Solve for x
    x = 84,091,760.64/9,417.60
  6. Step 6: Final answer
    x = 8,929.21

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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.