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Finding the Fourth Proportional to 9,422.43, 13,005.66 and 7,547.07

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Solution

The fourth proportional to 9,422.43, 13,005.66 and 7,547.07 is: 10,417.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,422.43 : 13,005.66 = 7,547.07 : x
  2. Step 2: Convert to fraction form
    9,422.43/13,005.66 = 7,547.07/x
  3. Step 3: Cross multiply
    9,422.43x = 13,005.66 × 7,547.07
  4. Step 4: Simplify right side
    9,422.43x = 98,154,703.49
  5. Step 5: Solve for x
    x = 98,154,703.49/9,422.43
  6. Step 6: Final answer
    x = 10,417.14

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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.