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Finding the Fourth Proportional to 9,870.04, 13,597.23 and 6,880.47

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Solution

The fourth proportional to 9,870.04, 13,597.23 and 6,880.47 is: 9,478.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,870.04 : 13,597.23 = 6,880.47 : x
  2. Step 2: Convert to fraction form
    9,870.04/13,597.23 = 6,880.47/x
  3. Step 3: Cross multiply
    9,870.04x = 13,597.23 × 6,880.47
  4. Step 4: Simplify right side
    9,870.04x = 93,555,333.10
  5. Step 5: Solve for x
    x = 93,555,333.10/9,870.04
  6. Step 6: Final answer
    x = 9,478.72

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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.