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Finding the Fourth Proportional to 9,875.16, 13,628 and 6,098.48

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Solution

The fourth proportional to 9,875.16, 13,628 and 6,098.48 is: 8,416.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,875.16 : 13,628 = 6,098.48 : x
  2. Step 2: Convert to fraction form
    9,875.16/13,628 = 6,098.48/x
  3. Step 3: Cross multiply
    9,875.16x = 13,628 × 6,098.48
  4. Step 4: Simplify right side
    9,875.16x = 83,110,085.44
  5. Step 5: Solve for x
    x = 83,110,085.44/9,875.16
  6. Step 6: Final answer
    x = 8,416.07

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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.