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Finding the Fourth Proportional to 9,810.28, 13,547.82 and 7,116.76

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Solution

The fourth proportional to 9,810.28, 13,547.82 and 7,116.76 is: 9,828.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,810.28 : 13,547.82 = 7,116.76 : x
  2. Step 2: Convert to fraction form
    9,810.28/13,547.82 = 7,116.76/x
  3. Step 3: Cross multiply
    9,810.28x = 13,547.82 × 7,116.76
  4. Step 4: Simplify right side
    9,810.28x = 96,416,583.46
  5. Step 5: Solve for x
    x = 96,416,583.46/9,810.28
  6. Step 6: Final answer
    x = 9,828.12

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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.