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Finding the Fourth Proportional to 9,389.16, 12,955.68 and 6,032.26

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Solution

The fourth proportional to 9,389.16, 12,955.68 and 6,032.26 is: 8,323.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,389.16 : 12,955.68 = 6,032.26 : x
  2. Step 2: Convert to fraction form
    9,389.16/12,955.68 = 6,032.26/x
  3. Step 3: Cross multiply
    9,389.16x = 12,955.68 × 6,032.26
  4. Step 4: Simplify right side
    9,389.16x = 78,152,030.24
  5. Step 5: Solve for x
    x = 78,152,030.24/9,389.16
  6. Step 6: Final answer
    x = 8,323.64

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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.