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Finding the Fourth Proportional to 9,706.04, 13,376.57 and 7,048.83

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Solution

The fourth proportional to 9,706.04, 13,376.57 and 7,048.83 is: 9,714.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,706.04 : 13,376.57 = 7,048.83 : x
  2. Step 2: Convert to fraction form
    9,706.04/13,376.57 = 7,048.83/x
  3. Step 3: Cross multiply
    9,706.04x = 13,376.57 × 7,048.83
  4. Step 4: Simplify right side
    9,706.04x = 94,289,132.67
  5. Step 5: Solve for x
    x = 94,289,132.67/9,706.04
  6. Step 6: Final answer
    x = 9,714.49

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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.