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Finding the Fourth Proportional to 9,417.60, 13,000.50 and 6,187.32

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Solution

The fourth proportional to 9,417.60, 13,000.50 and 6,187.32 is: 8,541.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,417.60 : 13,000.50 = 6,187.32 : x
  2. Step 2: Convert to fraction form
    9,417.60/13,000.50 = 6,187.32/x
  3. Step 3: Cross multiply
    9,417.60x = 13,000.50 × 6,187.32
  4. Step 4: Simplify right side
    9,417.60x = 80,438,253.66
  5. Step 5: Solve for x
    x = 80,438,253.66/9,417.60
  6. Step 6: Final answer
    x = 8,541.27

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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.