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Finding the Fourth Proportional to 6,569,578.49, 9,852,085.16 and 3,656,117.03

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Solution

The fourth proportional to 6,569,578.49, 9,852,085.16 and 3,656,117.03 is: 5,482,905.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,569,578.49 : 9,852,085.16 = 3,656,117.03 : x
  2. Step 2: Convert to fraction form
    6,569,578.49/9,852,085.16 = 3,656,117.03/x
  3. Step 3: Cross multiply
    6,569,578.49x = 9,852,085.16 × 3,656,117.03
  4. Step 4: Simplify right side
    6,569,578.49x = 36,020,376,316,205.69
  5. Step 5: Solve for x
    x = 36,020,376,316,205.69/6,569,578.49
  6. Step 6: Final answer
    x = 5,482,905.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.