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Finding the Fourth Proportional to 7,088.31, 9,777.51 and 4,569.48

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Solution

The fourth proportional to 7,088.31, 9,777.51 and 4,569.48 is: 6,303.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,088.31 : 9,777.51 = 4,569.48 : x
  2. Step 2: Convert to fraction form
    7,088.31/9,777.51 = 4,569.48/x
  3. Step 3: Cross multiply
    7,088.31x = 9,777.51 × 4,569.48
  4. Step 4: Simplify right side
    7,088.31x = 44,678,136.39
  5. Step 5: Solve for x
    x = 44,678,136.39/7,088.31
  6. Step 6: Final answer
    x = 6,303.07

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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.