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Finding the Fourth Proportional to 7,061.84, 9,749.80 and 4,545.12

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Solution

The fourth proportional to 7,061.84, 9,749.80 and 4,545.12 is: 6,275.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,061.84 : 9,749.80 = 4,545.12 : x
  2. Step 2: Convert to fraction form
    7,061.84/9,749.80 = 4,545.12/x
  3. Step 3: Cross multiply
    7,061.84x = 9,749.80 × 4,545.12
  4. Step 4: Simplify right side
    7,061.84x = 44,314,010.98
  5. Step 5: Solve for x
    x = 44,314,010.98/7,061.84
  6. Step 6: Final answer
    x = 6,275.14

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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.