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Finding the Fourth Proportional to 9,513.60, 14,258.88 and 5,804.16

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Solution

The fourth proportional to 9,513.60, 14,258.88 and 5,804.16 is: 8,699.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,513.60 : 14,258.88 = 5,804.16 : x
  2. Step 2: Convert to fraction form
    9,513.60/14,258.88 = 5,804.16/x
  3. Step 3: Cross multiply
    9,513.60x = 14,258.88 × 5,804.16
  4. Step 4: Simplify right side
    9,513.60x = 82,760,820.94
  5. Step 5: Solve for x
    x = 82,760,820.94/9,513.60
  6. Step 6: Final answer
    x = 8,699.21

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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.