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Finding the Fourth Proportional to 9,220.16, 13,828 and 4,602.08

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Solution

The fourth proportional to 9,220.16, 13,828 and 4,602.08 is: 6,902.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,220.16 : 13,828 = 4,602.08 : x
  2. Step 2: Convert to fraction form
    9,220.16/13,828 = 4,602.08/x
  3. Step 3: Cross multiply
    9,220.16x = 13,828 × 4,602.08
  4. Step 4: Simplify right side
    9,220.16x = 63,637,562.24
  5. Step 5: Solve for x
    x = 63,637,562.24/9,220.16
  6. Step 6: Final answer
    x = 6,902.00

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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.